Question 6
Triangles and QuadrilateralsIn the diagram, ∠RPQ = ∠QRY, ∠PQR = ∠RYQ, |QP| = 8cm |QY| = 4cm and |RY| = 5cm. Find |QR|
- A.2.0cm
- B.2.5cm
- C.6.4 cm
- D.10.0cm
Show the answer and explanation
Answer: C (6.4 cm)
Explanation
Triangles PQR and RYQ are similar (two pairs of equal angles), with P↔R, Q↔Y, R↔Q. So QR/YQ = PQ/RY: QR = 4 × 8/5 = 6.4 cm.