Given a triangle PQR, PQ is 15.2cm and angle Q=30.Determine the length PR and angle PRQ

Just want to know the working and the exact value.
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1 Answer

You only have one side and an angle. You need side QR to determine PR and another angle. Let's say QR=x, then PR=sqrt(15.2^2+x^2-2*15.2xcos30) (cosine rule). cos30=sqrt(3)/2 so PR=sqrt(231.04+x^2-15.2xsqrt(3)).

You can use the sine rule to find angle PRQ. sinPRQ/15.2=sin30/PR; sinPRQ=7.6/PR. PRQ=arcsin(7.6/PR).

by Top Rated User (1.1m points)

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