Question

Using a ruler and a compass only;

1. Draw triangle PQR in which PQ=7.5cm QR=5cm and angle PQR=60°  
2. By shading the unwanted regions, find the position of S where S and Q are on opposite sides of PR such that:
   1. Angle PSR ≤ 60°  
   2. PS ≥ SR   
   3. PS ≥ 5cm
   4. Area of triangle PSQ ≤ 7.5cm² 

Answer 1

1. 
   
2.  
   4. Area of triangle PSQ ≤ 7.5cm²
      A= ½ × 7.5 × 2
      =7.5cm²