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An equilateral triangle has an area of 25 square root of 3 What is the height?
Wiki User
∙ 12y ago
5√3 units.
In an equilateral triangle the height meets the base at its mid point and can be found using Pythagoras:
side2 = height2 + (side/2)2
⇒ height2 = 3/4 side2
⇒ height = √3/2 side
⇒ side = 2/√3 height
area_triangle = 1/2 x base x height
⇒ 25√3 = 1/2 x side x height
⇒ 25√3 = 1/2 x 2/√3 height x height
⇒ height2 = 25 x 3
⇒ height = 5√3
Wiki User
∙ 12y ago
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What is the area of an equilateral triangle with a height of 9 inches?
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2
What is the area of an equilateral triangle with side of 10 inches and height of 7 inches?
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What is the area of an equilateral triangle with sides 10 inches and height of 7 inches?
Area of the equilateral triangle: 0.5*10*10*sin(60 degrees) = 25 times square root of 3 which is about 43.301 square inches to 3 decimal places. If it is an equilateral triangle with 3 equal sides of 10 inches then its height would be about 8.66 inches and not 7 inches
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If: (-2, 9) and (-7, -3) is the same distance then the height of the triangle is 13 units and each length of the equilateral triangle is 15.011107 units. Area = 0.5*13*15.011107 = 97.572 square units to 3 decimal places
If each side of the equilateral triangle measures 9c find the height of the triangle?
The area of a triangle is one-half the product of the triangle's base and height. The height of an equilateral triangle is the distance from one vertex along the perpendicular bisector line of the opposite side. This line divides the equilateral triangle into two right triangles, each with a hypotenuse of 9c and a base of (9/2)c. From the Pythagorean theorem, the height must be the square root of {(9c)2 - [(9/2)c]}, and this height is the same as that of the equilateral triangle.
What is the area of equilateral triangle with height is 20 and Base is 15?
An equilateral triangle with a height of 20 has a base of 23.1 (23.09401), not 15. If the base is 15 then the height will be 13 (12.99038).
