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

Question

asked Sep 17, 2024 144k views

1 Answer

Akselsson · Answer 1 · 2024-09-21T03:49:03+0000

Answer:

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

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