Question

In an equilateral triangle the altitude is sqrt7 find the length of the sides​

Answer 1

Length of each side = 3.055

Explanation:

The relationship between altitude h and side a of an equilateral triangle is

`h = (√(3) )/(2) a\\\\\\\rightarrow a = \frac{ 2h}{{√(3) }}\\\\`

Given h = √7.

we get

`a = (2√(7) )/(√(3) )\\\\a = 2 \sqrt{(7)/(3)}\\\\a = 2* 1.5275\\\\a = 3.055\\\\`