Question

The perimeters of two similar triangles ABC and PQR are 32 cm and 24 cm respectively. If PQ = 12 cm. find AB.

Answer 1

It is given that triangles ABC and PQR are similar.
Therefore,

$$\begin{gathered} \frac{\mathrm{Perimeter}(△ABC)}{\mathrm{Perimeter}(△PQR)}=\frac{AB}{PQ} \\ \Rightarrow \frac{32}{24}=\frac{AB}{12} \\ \Rightarrow AB=\frac{32\times 12}{24}=16\mathrm{cm} \end{gathered}$$