Question

10 POINTS PLEASE HELP ASAP!!! What is the length of the altitude of the equilateral triangle below?

Answer 1

Step-by-step explanation:

Hey there!

Looking on figure we find that triangle ABC is a Right angled triangle.

Taking reference angle as C, we get;

Perpendicular (p) = a

Base(b) = 5

And hypotenuse (h)= 10

Now;

Using Pythagoras relation, we get;

$p = \sqrt{ {h}^{2} - {b}^{2} }$

Put all values.

$a = \sqrt{ {10}^{2} - {5}^{2} }$

$a = \sqrt{100 - 25}$

$a = \sqrt{75}$

$a = 5 \sqrt{3}$

Therefore, answer is Option E.

Hope it helps..

Answer 2

I think it would have to be letter E