Question

Help pls! I need the answer quickly and pls explain. thank you!

Answer 1

Answer:

h = 6$\sqrt{3}$

Step-by-step explanation:

The given is the special right triangle with angle measures : 90-60-30

and the side lengths for the given angles are represented by :

2a-a$\sqrt{3}$-a

the side length that sees 60 degrees is represented by a$\sqrt{3}$ (h in this case)

the area of a triangle is calculated by multiplying height and base and that is divided by 2

a$\sqrt{3}$*a/2 = 18$\sqrt{3}$ multiply both sides by 2

a^2$\sqrt{3}$ = 36$\sqrt{3}$ divide both sides by $\sqrt{3}$

a^2 = 36 find the roots for both sides

a = 6

since h sees angle measure 60 and is represented by a$\sqrt{3}$

h = 6$\sqrt{3}$