SOLUTION: A 30-60-90 right triangle has a long leg of length 22. What is the area of this right triagle?

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Question 357227: A 30-60-90 right triangle has a long leg of length 22. What is the area of this right triagle?
Found 2 solutions by Fombitz, edjones:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
30-60-90 triangles have sides in 1%2F2-sqrt%283%29%2F2-1 proportion.
%28sqrt%283%29%2F2%29X=22
X=44%2Fsqrt%283%29=%2844%2F3%29sqrt%283%29
.
.
A=%281%2F2%29%280.5X%29%28sqrt%283%29%2F2%29%28X%29
A=%281%2F2%29%281%2F2%29%2844%2F3%29sqrt%283%29%2822%29
A=%28242%2F3%29sqrt%283%29

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
30-60-90 All have the side ratio of 1, sqrt(3), 2
c=22, b=11, a=11sqrt(3)
.5ab=A
.5*11sqrt(3)*11
=60.5sqrt(3)
.
Ed