Question

Assuming that the two triangles ABC and PQR are similar, find the value of QR if AB = 10 cm, PQ = 5 cm, and BC = 8 cm.

Answer 1

Since the given triangles are similar, the ratio of corresponding sides can be written as:

$\frac{AB}{PQ}=\frac{BC}{QR}$

$\Rightarrow \frac{10}{5}=\frac{8}{QR}$

$\Rightarrow 2=\frac{8}{QR}$

$\Rightarrow QR=\frac{8}{2}$

$\Rightarrow QR=4$ cm