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Given $\Delta ABC \sim \Delta PQR$, if $\frac{AB}{PQ} =\frac{1}{3}$

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Given $ \Delta ABC \sim \Delta PQR, if \frac{AB}{PQ} = \frac{1}{3}$, then find $\frac{ar\Delta ABC}{ar\Delta PQR}$

Answer

$$\frac{ar\Delta ABC}{ar\Delta PQR} $$

$$ = \frac{AB^2}{PQ^2}$$

$$ = \left(\frac{1}{3}\right)^2 = \frac{1}{9} $$

  • Exam Year: 2018
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