Question

What is the length of the altitude of the equilateral triangle below?

Answer 1

B

Explanation:

Using the sine ratio in either of the 2 right angles and the exact value

sin60° =
`(√(3) )/(2)` , then

sin60° =
`(opposite)/(hypotenuse)` =
`(a)/(4√(3) )` =
`(√(3) )/(2)` ( cross- multiply )

2a = 4
`√(3)` ×
`√(3)` = 12 ( divide both sides by 2 )

a = 6 → B