In triangle , ,

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

Problem

In triangle

PQR

\angle PRQ=50^\circ

PR=11\ \text{m}

, and

PQ=9\ \text{m}

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

\angle PQR

. (b) Sketch triangle

PQR

for each case. (c) For each case, find: (i) the measure of

\angle QPR

, (ii) the area of the triangle, and (iii) the perimeter of the triangle.