2018 · Q96
In the figure given below, Δ ABR Δ PQR. If PQ = 3 cm, AB = 6 cm, BR = 8.2 cm and PR = 5.2 cm, then QR and AR are respectively
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A8.2 cm, 10.4 cm
- B4.1 cm, 6 cm
- C2.6 cm, 5.2 cm
- D4.1 cm, 10.4 cm
Explanation
Triangles ABR and PQR are similar with ratio AB:PQ = 6:3 = 2:1. So QR = BR/2 = 8.2/2 = 4.1 cm and AR = 2 x PR = 2 x 5.2 = 10.4 cm. Hence option D.