Question

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

Answer 1

Answer:

PR = 10 cm

QR = 12 cm

Step-by-step explanation:

Since we are given that

ΔXYZ ~ ΔPQR then

ΔPQR will be magnification of ΔXYZ and we need to find the scaling factor

And if we suppose that

XY ~ PQ then scaling factor will be 8/4 = 2

And

QR ~ YZ

This implies that

QR = 2(6) = 12 cm

QR = 12 cm

And

XZ ~ PR

PR = 2(5) = 10 cm

PR = 10 cm

So one case is that

PR = 10 cm

QR = 12 cm