Question

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

Answer 1

h = 6
`√(3)`

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
`√(3)`-a

the side length that sees 60 degrees is represented by a
`√(3)` (h in this case)

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

a
`√(3)`*a/2 = 18
`√(3)` multiply both sides by 2

a^2
`√(3)` = 36
`√(3)` divide both sides by
`√(3)`

a^2 = 36 find the roots for both sides

a = 6

since h sees angle measure 60 and is represented by a
`√(3)`

h = 6
`√(3)`