Question

In $△ABC$ and $△PQR$, if $AB=2.5cm,AC=3.5cm,BC=4.0cm,PQ=5cm,PR=7cm$ and $QR=8cm$, then find whether $△ABC$ and $△PQR$ are similar or not

Answer 1

In $△ABC$ and $△PQR$

Taking ratios of corresponding sides

$\frac{AB}{PQ}=\frac{2.5}{5.0}=\frac{1}{2}.....\left(i\right)$

$\frac{BC}{QR}=\frac{4.0}{8.0}=\frac{1}{2}.....\left(ii\right)$

$\frac{AC}{PR}=\frac{3.5}{7.0}=\frac{1}{2}......\left(iii\right)$

From $\left(i\right)\left(ii\right)\left(iii\right)$

$\therefore △ABC$ and $△PQR$ are similar