In triangle , ,

MATHEMATICS · Multi-part · A Level · Mathematics · Trigonometry · Trigonometry

Problem

In triangle

PQR

\angle PRQ=50^\circ

PR=11\,\mathrm{m}

, and

PQ=9\,\mathrm{m}

. (1) Show that there are two possible measures of

\angle PQR

. (2) Sketch triangle

PQR

for each case. (3) For each case, find the measure of

\angle QPR

. (4) For each case, find the area of the triangle. (5) For each case, find the perimeter of the triangle.