Question

In ∆XYZ, XY = 4 cm, YZ = 6 cm, XZ = 5 cm. If ∆XYZ ~ ∆PQR and PQ = 8 cm, then find the lengths of remaining sides of ∆PQR.

Answer 1

∆XYZ ~ ∆PQR [Given]

∴ XY/PQ = YZ/QR = XZ/PR [Corresponding sides of similar triangles]

∴ PR = 10 cm 

∴ QR = 12 cm, PR = 10 cm