Question

Find the height of an equilateral triangle with side length 8.

Answer 1

U need to just do

`√(3 / 4) a {}^(2)`

Answer 2

4
`√(5)`

Explanation:

The segment from a vertex to the side opposite is a perpendicular bisector.

The equilateral Δ is divided into 2 right triangles with legs 8 and 4

let height be h, then using Pythagoras' identity

h² = 4² + 8² = 16 + 64 = 80 ( take the square root of both sides )

h =
`√(80)` = 4
`√(5)` ← exact value