Question 32
Triangles and QuadrilateralsIn the diagram above, ∠QPS = ∠SPR, PR = 9cm, PQ = 4cm and QS = 3cm. Find SR.
- A.6¾cm
- B.3¾cm
- C.4⅜cm
- D.2⅔cm
Show the answer and explanation
Answer: A (6¾cm)
Explanation
PS bisects angle P, so it divides QR in the ratio of the other two sides: QS/SR = PQ/PR. So 3/SR = 4/9 and SR = 27/4 = 6¾cm.