Question

Triangle XYZ is similar to Triangle PQR, in triangle XYZ, XY = 4cm, YZ=6cm, XZ=5cm, in triangle PQR PQ=8cm find remaining sides of triangle PQR

Answer 1

QR = 12 (cm), RP = 10 (cm)

Explanation:

Corresponding sides of the triangles:

XY : PQ, YZ : QR, ZX : RP.

For similar triangles ratios of corresponding sides are the same

XY : PQ = 4 : 8 = 1 : 2

YZ : QR = 1 : 2

ZX : RP = 1 : 2

YZ : QR = 1 : 2

6 : QR = 1 :2, QR = 12 (cm)

ZX : RP = 1 : 2

5 : RP = 1 : 2, RP = 10 (cm)