SOLUTION: Find the lengths of all three sides of a right triangle that has perimeter 28 and has a 36 degree angle.

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Question 924206: Find the lengths of all three sides of a right triangle that has perimeter 28 and has a 36 degree angle.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Since it's a right triangle,
a=c%2Asin%2836%29
b=c%2Asin%2854%29
Substituting into the perimeter,
a%2Bb%2Bc=28
c%2Asin%2836%29%2Bc%2Asin%2854%29%2Bc=28
c=28%2F%281%2Bsin%2836%29%2Bsin%2854%29%29
c=11.68
Then,
a=11.68%2Asin%2836%29=6.87
b=11.68%2Asin%2854%29=9.45