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Q: An equilateral triangle has an area of What is the height?

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It is: 0.5*base*perpendicular height

You find the height by using Pythagoras' theorem and then 0.5*base*height = area.

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.

The base length is 5.2643 units and the height is 4.55902 units.

No. 1/2 base squared + height squared=side squared on an equilateral triangle.

Related questions

Area = 1443.376 cm2

2

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).

It is: 0.5*base*perpendicular height

Area = 1/2*base*perpendicular height.

Its area is 46.8 (46.76533) square inches.

You find the height by using Pythagoras' theorem and then 0.5*base*height = area.

The height of an equilateral triangle is √3/2 x side_length. So for an equilateral triangle of side length 2a, the area is: area = 1/2 x base x height 1/2 x (2a) x (√3/2 x 2a) = √3 a2

Base times height and divided by 2.

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.

The base length is 5.2643 units and the height is 4.55902 units.

Area of Equilateral Triangle A= S2 * (Root 3)/4, where A= Area of the triangle S= Side of the triangle.

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