SOLUTION: Solve angle Q, angle P and side r Side q is 11cm , Angle R is R-90degrees , Side p is 10cm Thanks

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Question 1133467: Solve angle Q, angle P and side r
Side q is 11cm , Angle R is R-90degrees , Side p is 10cm
Thanks

Answer by Andropov(3) About Me  (Show Source):
You can put this solution on YOUR website!
You would need to law of cosine here to solve for side r.
r%5E2+=+p%5E2%2Bq%5E2-2pqcos%28R-90%29
r+=+sqrt%28p%5E2%2Bq%5E2-2pqcos%28R-90%29%29

Then, use law of sines to solve for angle Q and angle P.
sin%28R-90%29%2Fr+=+sin%28P%29%2Fp%29
sin%28P%29+=+psin%28R-90%29%2Fr
P+=+arcsin%28p%2Asin%28R-90%29%2Fr%29
sin%28R-90%29%2Fr+=+sin%28Q%29%2Fq%29
sin%28Q%29+=+qsin%28R-90%29%2Fr
Q+=+arcsin%28q%2Asin%28R-90%29%2Fr%29