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How do you find the area of an equilateral triangle without knowing the height?
Wiki User
∙ 12y ago
You find the height by using Pythagoras' theorem and then 0.5*base*height = area.
Wiki User
∙ 12y ago
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Is the height of an equilateral triangle the same as the side lengths?
No. 1/2 base squared + height squared=side squared on an equilateral triangle.
An equilateral triangle has an area of What is the height?
8.7
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 height of an equilateral triangle with sides of 20?
Height of an equilateral triangle = √3/2 x side = √3/2 x 20 = 10√3 ≈ 17.32
How do you determine the height of an equilateral triangle?
It is the height of the perpendicular line from its vertex to its base
Is the height of an equilateral triangle the same as the side lengths?
No. 1/2 base squared + height squared=side squared on an equilateral triangle.
An equilateral triangle has an area of What is the height?
8.7
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).
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 height of an equilateral triangle with a length of x?
Cutting the equilateral triangle in half results in two right triangles each with a base of length x/2, and angles of 30, 60, and 90 degrees. Using the lengths of sides of a 30-60-90 triangle it can be found that the height is (x/2)√(3), which is the same as the height of the equilateral triangle.So the height of the equilateral triangle is x√(3) / 2.
The height of an equilateral triangle is 6cm.find the area?
2
What height is an equilateral triangle with sides measuring 3cm?
Height of an equilateral triangle = √3 / 2 x side = (√3 / 2 ) x 3 = 2.598 cm.
What is the height of an equilateral triangle with sides of 20?
Height of an equilateral triangle = √3/2 x side = √3/2 x 20 = 10√3 ≈ 17.32
What is area of triangle when height is 50cm and triangle is an equilateral?
Area = 1443.376 cm2
How do you determine the height of an equilateral triangle?
It is the height of the perpendicular line from its vertex to its base
What is the distance between the centroid and the vertex of an equilateral triangle?
It is two-thirds of the triangle's height.
If weRotation of a right angled triangle about its height what shape we will get?
An isosceles, possibly equilateral, triangle
