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lianna [129]
3 years ago
14

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

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
5 0

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}

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