Question

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

Answer 1

h/5 = tan(60°)
h = 5tan(60°)
h = 5rt(3)
~F

Answer 2

The correct option is F. 5√3

Explanation:

The length of the base is given to 5 units

Also, The length of hypotenuse is equal to the side of the equilateral triangle which is given to be 10

Now, we need to find the height of the equilateral triangle.

Also, The angle is given to be 90°

So. Applying Pythagoras theorem in the triangle :

a² = 10² - 5²

⇒ a² = 100 - 25

⇒ a² = 75

⇒ a = 5√3 units

Therefore, the correct option is F. 5√3