Question

In the given figure, $△$ ACB $\sim$ $△$ APQ. IfBC = 8 cm, PQ = 4 cm, ba = 6.5 cm and AP = 2.8 cm, find CA and AQ.

Answer 1

If two triangles are similar then the sides of one triangle are proportional to (i.e., in the same ratio of ) the sides of the other triangle.

As $△ACB\sim △APQ$

So $\frac{AC}{AP}=\frac{CB}{PQ}=\frac{AB}{AQ}$

$\frac{AC}{2.8}=\frac{8}{4}=2=\frac{6.5}{AQ}$

$AC=2\times 2.8=5.6cm$

$AQ=\frac{6.5}{2}=3.25cm$

Hence $AC=5.6cm$ and $AQ=3.25cm$