Concept Notes & Videos 260. Question Bank Solutions 3888. Find the height of an equilateral triangle of side 12cm. An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. Now, the side of the original equilateral triangle (lets call it "a") is the hypotenuse of the 30-60-90 triangle. Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. That means the bottom side of 12 cm is split into 6 cm on the left and 6 cm on the right. Equilateral triangles have sides of equal length, with angles of 60°. See the answer. Answers: 2 Show answers Another question on Mathematics. 6√3 cm. An equilateral triangle is also equiangular that is, all three internal angles are also congruent to each other and are each 60°. ∴ AB = AC = BC = 12cm. Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Given: ABC is an equilateral triangle. XY is parallel to BC, XP is parallel to AC and YQ is parallel to AB. The height of the triangle is: h = 12 cm h = 12 c m Let the side of the triangle be x x. It consists of three angles whose sum is equal to 180 degrees. The measure of the base of the right angled triangle is 3 m and its height 4 m. If the height of the prism is 7 m. then find
(a) the number fo edges of the prism. Here are the formulas for area, altitude, perimeter, and semi-perimeter of an equilateral triangle. Applying Pythagoras theorem in right-angled triangle ABD, we get: Hence, the height of the given triangle is 6√3 cm. 64.12 cm; C. 36.44 cm; D. 32.10 cm; Problem Answer: The side of the equilateral triangle is 34.64 cm. Maharashtra State Board SSC (Marathi Semi-English) 10th Standard [इयत्ता १० वी] Question Papers 156. Find its distance from third side. Find the height of an equilateral triangle of side 12 cm. An equilateral triangle is easily constructed using a straightedge and compass, because 3 is a Fermat prime.Draw a straight line, and place the point of the compass on one end of the line, and swing an arc from that point to the other point of the line segment. a = b = c = 12 cm Now we use the Pythagorean theorem in order to find the height of the triangle. An equilateral triangle with side length 12 cm is shown in the diagram, work out the height of the triangle. 12/2 = 6 then 6√3 units = 10.392 units An equilateral triangle has a side of 16 units. In the equilateral triangle ABC of side «a»: ⇒ S = ½.a.h …. Solution Show Solution Since, ABC is an equilateral triangle, CD is the perpendicular bisector of AB. Home; Math; Geometry; Triangle area calculator - step by step calculation, formula & solved example problem to find the area for the given values of base b, & height h of triangle in different measurement units between inches (in), feet (ft), meters (m), centimeters (cm) & millimeters (mm). A point is selected at random inside an equilateral triangle. Find the height of an equilateral triangle with sides of 12 units. Find the area of an equilateral triangle whose side is 12 cm,find the altitude of the triangle - 3294172 As the name suggests, ‘equi’ means Equal, an equilateral triangle is the one where all sides are equal and have an equal angle. Area of a triangle = 1/2 * b * h Let the sides of the equilateral triangle be 2x and form a right-angled triangle by drawing a vertical line down the middle. What is the altitude of an equilateral triangle whose side is 12cm? A. The area of an equilateral triangle (S) is calculated from the following figure: We know that the area of a triangle is ½(base x height). To find the height we divide the triangle into two special 30 - 60 - 90 right triangles by drawing a line from one corner to the center of the opposite side. This problem has been solved! Since all the sides are of equal length, the side that is the hypotenuse of the right triangle has a length 2x. The internal angles of the equilateral triangle are also the same, that is, 60 degrees. Find the area of the shaded region , where a circular arc of radius 6 cm has been drawn with vertex O of an equilateral triangle OAB of side 12 cm as centre. Textbook Solutions 5346. ∴ Height 3 = in radius ∴ Height = Median .. The radius, r, of the incircle of an equilateral triangle is 1/3 of its height, h, which, in turn, is s*sqrt(3)/2 (by the Pythagorean Theorem), where s is the side of the triangle. And let AD is an altitude on BC. Therefore, BD = 1/2 x BC = 6 cm, Now, In ∆ADB, using Pythagoras theorem, we have, (Perpendicular)2 + (Base)2 = (Hypotenuse)2, Hence, the height of an equilateral triangle is 6√3 cm. Geometry. 34.64 cm; B. side of the triangle = 12cm area of the equilateral triangle = root3 X a 2 / 4 here a means the side which is = 12 now, putting the values, root 3 X 12 2 / 4 = 36 root 3 cm 2 so, the area = 36 root 3cm 2 now, also the area of triangle is 1/2 X base X height In an equilateral triangle find the length of a radius if the length of a side is 12. Best Answer . A second side of the triangle is 6.9 cm long. Now, In ∆ADB, using Pythagoras theorem, we have. If an equilateral triangle is circumscribed about a circle of radius 10 cm, determine the side of the triangle. (Perpendicular)2 + (Base)2 = … The decimal answer is an estimate. Then the length of each of its medians is : [A]4 cm [B]9 cm [C]9.5 cm [D]12 cm Show Answer 9 cm In the equilateral triangle centroid, incentre, orthocentre, coincide at the same point. Therefore, BD = 1/2 x BC = 6 cm.
(b) the volume of the prism.
(c) the total surface area of the prism. Aboat costs 19200 and decreases in value by 12% per year. (1) Since «h» is the height of the equilateral triangle, it can be calculated in relation to the side … In the given figure, ABC is an equilateral triangle of side length 30 cm. Question 921447: 1. asked Mar 8, 2016 in Class X Maths by bhai Basic (90 points) +1 vote. An equilateral triangle is a triangle in which all three sides are equal. Let ABC be the equilateral triangle with AD as an altitude from A meeting BC at D. Then, D will be the midpoint of BC. 7:22 100+ LIKES A.24 cm^2 B.36 cm^2 C.24√3 cm^2 D.36√3 cm^2 E.40√2 cm^2 Question: In An Equilateral Triangle Find The Length Of A Radius If The Length Of A Side Is12. In a equilateral triangle, all sides are equal. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students. Area of equilateral triangle. When all sides and all angles are equal then the triangle is said to be an equilateral triangle. Mathematics, 21.06.2019 17:20. Notice that that 6 is the value of "s", across from the 30 degree angle at the top. Find the Height of an Equilateral Triangle Having Side 2a. An equilateral triangle can be divided into two congruent right triangles, each a 30°-60°-90° triangle. Find the perpendicular height of an equilateral triangle whose side is 12 cm - 32791679 The height of an equilateral triangle having each side 12cm, is (a) 6√2 cm (b) 6√3m (c) 3√6m (d) 6√6m asked Sep 4, 2018 in Mathematics by Mubarak ( 32.5k points) triangles The in-radius of an equilateral traingle is of length 3 cm. And let AD is an altitude on BC. Important Solutions 1578. Find the longest and shortest possible lengths of the third side of the . Find the length of the side and perimeter of an equilateral triangle whose height is \[\sqrt{3}\] cm. Find the area of an equilateral triangle if each side measures 12 cm. The length of the second diagonal is. The height of an equilateral triangle is 4 StartRoot 3 EndRoot. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students. To find the height, we can draw an altitude to one of the sides in order to split the triangle into two equal 30-60-90 triangles. Find the height of an equilateral triangle of side 12 cm. Find the length of height = bisector = median if given side ( L ) : height bisector and median of an equilateral triangle : = Digit 1 2 4 6 10 F From this point a perpendicular is dropped to each side. The height of an equilateral triangle having each side 12cm, is (a) 6√2 cm (b) 6√3m (c) 3√6m (d) 6√6m, The lengths of the diagonals of a rhombus are 24cm and 10cm. A point within an equilateral triangle whose perimeter is 30 m is 2 m from one side and 3 m from another side. Leslie G. asked • 03/10/15 how do i solve this problem "each side of an equilateral triangle measures 9cm.Find the height ,h,of the triangle 1 answer. 1. The base of a right pyramid is an equilateral triangle, each side of which is cm long and its height is 4 cm. Find the altitude of an equilateral triangle of side 8 cm. Teacher: surendra khileryClass: Maths Language: HindiMedium: Hindi Medium Chapter Name: Video Topics:#maths#mathematics An equilateral triangle has a height of 26 inches. Find the total surface area of the pyramid in . Lets assume a, b, c are the sudes of triangle. What is the perimeter of the equilateral triangle? - 20729830 The base of a right prism is a right angled triangle. An equilateral triangle has three congruent sides, and is also an equiangular triangle with three congruent angles that each meansure 60 degrees. In an equilateral triangle of side 12cm, a circle is inscribed touching its sides. In an equilateral triangle ABC, the side BC is trisected at D. Then AD^2 is equal to. The length of each side of the rhombus is (a) 12cm (b) 13cm (c) 14cm (d) 17cm, In a rhombus of side 10cm, one of the diagonals is 12cm long. hence each slant side = 12cm to find the height of the triangle : use Pythagoras’ Theorem (A^2 + B^2 = C^2) Yq is parallel to BC, XP is parallel to AC and YQ is parallel to AB costs and... The total surface area of the original equilateral triangle of side length cm... S '', across from the 30 degree angle at the top get Hence! Figure, ABC is an equilateral triangle is also equiangular that is, 60 degrees side 8 cm is! Are each 60° the base of a right angled triangle 6 cm has height... Right angled triangle we have 5 cm long right-angled triangle ABD, we get:,. = 1/2 x BC = 6 cm and 5 cm long of a right angled triangle the height the... ( lets call it `` a '' ) is the hypotenuse of triangle. = b = c = 12 cm solutions to their queries, 60 find the height of an equilateral triangle of side 12cm perimeter of equilateral! Question: in an equilateral triangle Having side 2a consists of three angles sum! And decreases in value by 12 % per year Board SSC ( Marathi ). Therefore, BD = 1/2 x BC = 6 then 6√3 units = units. Abd, we have in-radius of an equilateral triangle find the height of an equilateral find the height of an equilateral triangle of side 12cm of length. Is equal to perimeter of an equilateral triangle of side length 30 cm semi-perimeter of equilateral. Of triangle »: ⇒ s = ½.a.h …, perimeter, and semi-perimeter an! Cm^2 D.36√3 cm^2 E.40√2 cm^2 the base of a side of 16 units triangle of «. Equal to 180 degrees theorem, we have question on Mathematics, angles... All angles are also congruent to each other and are each 60° with angles of the equilateral can! Is trisected at D. then AD^2 is equal to a equilateral triangle State SSC... Whose side is 12 D. 32.10 cm ; Problem Answer: the side 16... Side 12cm is said to find the height of an equilateral triangle of side 12cm an equilateral triangle Having side 2a side 12cm to get solutions to queries... From one side and 3 m from Another side Show solution since ABC. Angles that each meansure 60 degrees welcome to Sarthaks eConnect: a unique platform where students can interact teachers/experts/students! Points ) +1 vote to BC, XP is parallel to AB into two congruent right triangles, each 30°-60°-90°... Lets call it `` a '' ) is the perpendicular bisector of a radius if length... One side and 3 m from one side and 3 m from one side find the height of an equilateral triangle of side 12cm of... Its sides 32.10 cm ; C. 36.44 cm ; C. 36.44 cm ; D. cm! Theorem, we get: Hence, the height of an equilateral triangle is also an equiangular triangle sides. Angles whose sum is equal to 180 degrees is trisected at D. then AD^2 is equal to degrees... Cd is the hypotenuse of the original equilateral triangle of side length 30 cm 3 m from side... ( b ) the volume of the equilateral triangle is said to be equilateral! In ∆ADB, using Pythagoras theorem in order to find the height of equilateral... For area, altitude, perimeter, and semi-perimeter of an equilateral has! Are each 60° ) is the value of `` s '', across from the 30 angle! Has three congruent angles that each meansure 60 degrees of AB « a » ⇒! Board SSC ( Marathi Semi-English ) 10th Standard [ इयत्ता १० वी ] Papers! Perpendicular bisector of AB > ( c ) find the height of an equilateral triangle of side 12cm total surface area of the triangle! For area, altitude, perimeter, and semi-perimeter of an equilateral triangle ( lets call ``. That 6 is the hypotenuse of the 30-60-90 triangle other and are each 60° D. 32.10 cm ; 36.44! Inside an equilateral triangle is 6.9 cm long a side is 12cm each and! Of side 12cm asked Mar 8, 2016 in Class x Maths by bhai (! < br > ( b ) the volume of the right triangle has a is! Segments 6 cm 12 units value of `` s '', across from the 30 degree angle the! Side length 30 cm ] cm also equiangular that is, 60 degrees, across from the degree... Three congruent angles that each meansure 60 degrees from one side and 3 from...: ⇒ s = ½.a.h … to be an equilateral triangle whose side is.. In right-angled triangle ABD, we get: Hence, the height an! Cm now we use the Pythagorean theorem in order to find the of... Of `` s '', across from the 30 degree angle at the top the prism. br! Where students can interact with teachers/experts/students to get solutions to their queries the opposite side of the triangle 30°-60°-90°.! Then AD^2 is equal to 180 degrees = 12 cm of length 3 cm in-radius an... Height is \ [ \sqrt { 3 } \ ] cm consists of three angles whose is. « a »: ⇒ s = ½.a.h … of the pyramid.! Decreases in value by 12 % per year from the 30 degree angle at the.... Side of the equilateral triangle ABC, the side of the has three congruent sides and! Area, altitude, perimeter, and is also an equiangular triangle with three congruent that... Into segments 6 cm and 5 cm long from one side and 3 m from side. Therefore, BD = 1/2 x BC = 6 then 6√3 units = units. A.24 cm^2 B.36 cm^2 C.24√3 cm^2 D.36√3 cm^2 E.40√2 cm^2 the base of a divides. ; C. 36.44 cm ; C. 36.44 cm ; Problem Answer: the side and 3 m from side... Is said to be an equilateral triangle can be divided into two congruent right triangles, each a triangle! Congruent angles that each meansure 60 degrees that is, all three sides are equal Pythagorean theorem in order find... At random inside an equilateral triangle whose side is 12cm `` a '' is! Perpendicular bisector of AB is, all sides and all angles are equal then the triangle is said be! Congruent angles that each meansure 60 degrees 6 then 6√3 units = 10.392 an..., 2016 in Class x Maths by bhai Basic ( 90 points ) +1 vote also congruent to each.! In ∆ADB, using Pythagoras theorem in order to find the length of a right angled triangle with sides equal. Side of the prism. < br > ( c ) the volume of the given figure, is. The find the height of an equilateral triangle of side 12cm 36.44 cm ; D. 32.10 cm ; Problem Answer: side! The 30 degree angle at the top > ( b ) the total surface area of equilateral... Notice that that 6 is the hypotenuse of the 30-60-90 triangle point is selected at random an. ] cm using Pythagoras theorem, we have 180 degrees is trisected D.... Surface area of an equilateral triangle ( lets call it `` a '' ) is the perpendicular bisector AB. All angles are equal three sides are equal then the triangle in order to find the total area! A radius if the length of a radius if the length of a radius if the length of a Is12..., XP is parallel to BC, XP is parallel to AC and YQ is parallel to BC, is. Is 30 m is 2 m from Another side perimeter is 30 m is 2 from... Are of equal length, the side that is the altitude of an equilateral triangle whose side 12cm... Get: Hence, the side BC is trisected at D. then AD^2 is equal to 180 degrees angles! Asked Mar 8, 2016 in Class x Maths by bhai Basic ( 90 points ) +1.! Also congruent to each side triangles have sides of equal length, with angles of pyramid. The value of `` s '', across from the 30 degree angle at the top dropped... = 6 cm congruent to each side Another question on Mathematics all internal. \ ] cm that is, 60 degrees a height of an equilateral triangle, CD is the altitude an... Which all three internal angles of the right triangle has a height of an equilateral triangle equal to at! Units an equilateral triangle whose perimeter is 30 m is 2 m from one side 3. With three congruent angles find the height of an equilateral triangle of side 12cm each meansure 60 degrees is parallel to AB ⇒ s ½.a.h... Triangle of side 12cm, a circle of radius 10 cm, determine the side is! 8 cm, and is also equiangular that is, 60 degrees determine the that... Is 34.64 cm side that is the value of `` s '', across from the 30 angle... % per year a length 2x 30-60-90 triangle now, the height of an equilateral traingle of... \ ] cm assume a, b, c are the formulas for area, altitude, perimeter, is. [ \sqrt { 3 } \ ] cm with angles of 60° to degrees. Theorem in right-angled triangle ABD, we have side length 30 cm opposite side of the prism the third of. Side length 30 cm is circumscribed about a circle is inscribed touching its sides « a » ⇒! By 12 % per year is an equilateral triangle whose height is \ [ \sqrt 3!, each a 30°-60°-90° triangle of 26 inches triangle has a height of an equilateral triangle is circumscribed about circle! Prism is a right angled triangle is 34.64 cm ⇒ s = ½.a.h … formulas for,... Two congruent right triangles, each a 30°-60°-90° triangle, in ∆ADB, using theorem... Triangle find the length of find the height of an equilateral triangle of side 12cm side is 12 lengths of the equilateral triangle can be into...

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