SOLUTION: In the right triangle ABC, given angle A = 62°50', a=70. Calculate its perimeter.

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Question 1053026: In the right triangle ABC, given angle A = 62°50', a=70. Calculate its perimeter.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2BB%2B90=180
B=90-A
B= 27°10'
sin%28A%29%2Fa=sin%28B%29%2Fb
b=a%28sin%28B%29%2Fsin%28A%29%29
b=70%280.4566%2F0.8897%29
b=35.9
So then,
a%5E2%2Bb%5E2=c%5E2
70%5E2%2B35.9%5E2=c%5E2
c%5E2=6190.62
c=78.7
Finally,
P=a%2Bb%2Bc
P=70%2B35.9%2B78.7
P=184.6