Question

The triangle pqr is such that pq = 8 cm, qr = 7 cm, pr = 7.5 cm and triangle pqr is similar to triangle xyz. If xy = 16 cm, find the value of yz.

Answer 1

Answer:

14 cm

Step-by-step explanation:

in triangle pqr :

pq = 8 cm

qr = 7 cm

pr = 7.5 cm

In triangle xyz :

the side that corresponds to xy is pq

so , xy = 16 cm ( 2 x pq = 2 x 8 )

Therefore , the side that corresponds to yz in triangle pqr = qr

qr = 7

so , yz should be qr x 2 = 7 x 2

therefore , yz = 7 x 2 = 14 cm