SOLUTION: the area of triangle PQR is 30. If q=10 and r=8, find all possible measures of angle P?

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Question 606299: the area of triangle PQR is 30. If q=10 and r=8, find all possible measures of angle P?
Answer by vksarvepalli(154) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a triangle ABC with sides a,b,c is given by the formula,
Area= 1/2*a*b*SinC = 1/2*b*c*SinA = 1/2*a*c*SinB
so here we have , 1/2*10*8*SinP = 30
=> 40 SinP = 30
=> SinP = 3/4
=> P = %28Sin%29%5E%28-1%29%283%2F4%29

So P = 48.59 degrees (approx)