Question:
The perimeters of two similar triangles ABC and PQR are 32 cm and 24 cm respectively. If PQ = 12 cm. find AB.
Solution:
It is given that triangles ABC and PQR are similar.
Therefore,
$\frac{\text { Perimeter }(\triangle A B C)}{\text { Perimeter }(\triangle P Q R)}=\frac{A B}{P Q}$
$\Rightarrow \frac{32}{24}=\frac{A B}{12}$
$\Rightarrow A B=\frac{32 \times 12}{24}=16 \mathrm{~cm}$
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