Question

What is the height, x, of the equilateral triangle?

Answer 1

Given:

The figure of an equilateral triangle with side length 14 in.

To find:

The height x of the equilateral triangle.

Solution:

We know that the height of an equilateral triangle is:

`h=(√(3))/(2)a`

Where, a is the length of side of the equilateral triangle.

It is given that the height of the triangle is
`x`.

Putting
`a=14,h=x` in the above formula, we get

`x=(√(3))/(2)(14)`

`x=√(3)(7)`

`x=7√(3)`

Therefore, the height of the triangle is
`x=7√(3)`.