Question 14 Marks

$\Delta ABC \sim \Delta PQR$. In $\Delta ABC$, $AB=3.6$ cm, $BC=4$ cm and $AC=4.2$ cm. The corresponding sides of $\Delta ABC$ and $\Delta PQR$ are in the ratio 2:3, construct $\Delta ABC$ and $\Delta PQR$.

Answer

Ratio of sides $\frac{AB}{PQ} = \frac{BC}{QR} = \frac{AC}{PR} = \frac{2}{3}$.
$PQ = \frac{3}{2} \times 3.6 = 5.4$ cm, $QR = \frac{3}{2} \times 4 = 6$ cm, $PR = \frac{3}{2} \times 4.2 = 6.3$ cm.
Construct $\Delta ABC$ with sides 3.6, 4, 4.2 cm. Construct $\Delta PQR$ with sides 5.4, 6, 6.3 cm.

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