Question

What is the length of the altitude of the equilateral triangle below? Thank you! <3

Answer 1

The correct answer option is C. . \

Answer 2

The correct answer option is C.
`4√(3)`.

Explanation:

We are given an equilateral triangle which is divided into two equal halves and that makes two right angled triangles with known measures of angles.

We are to find the length of the altitude of the triangle. For that we can use the trigonometric ratios.

`sin 60 = (a)/(8)`

`(√(3) )/(2) =(a)/(8)`

`a= (√(3) )/(2) * 8`

`a = 4√(3)`

Therefore, the correct answer option is C.
`4√(3)`.