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Converse of Basic Proportionality Theorem

The ratio of ...

Question

The ratio of corresponding sides of two similar triangles $△ A B C$ ~ $△ P Q R$ is given to be 4:7. Find the side QR if BC is given to be 3.5cm.

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Solution

$\frac{B C}{Q R}$ = $\frac{4}{7}$ ( ratio of corresponding sides is $\frac{4}{7}$ )

So, $\frac{3.5}{Q R}$ = $\frac{4}{7}$

QR= 3.5 $\times$ $\frac{7}{4}$ = 6.125cm

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