In Delta ABC and Delta PQR,frac{AB}{PQ} = fra | vedclass

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(A) Given that $\Delta ABC \sim \Delta PQR$ based on the $SSS$ similarity criterion as $\frac{AB}{PQ} = \frac{BC}{QR} = \frac{AC}{PR}$.We are given th

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$16$

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(A) Given that $\Delta ABC \sim \Delta PQR$ based on the $SSS$ similarity criterion as $\frac{AB}{PQ} = \frac{BC}{QR} = \frac{AC}{PR}$.We are given the ratios $\frac{AB}{PQ} = \frac{BC}{QR}$.Substituting the given values: $\frac{15}{20} = \frac{12}{QR}$.Simplifying the fraction $\frac{15}{20}$ gives $\frac{3}{4}$.So,$\frac{3}{4} = \frac{12}{QR}$.By cross-multiplying,we get $3 	imes QR = 12 	imes 4$.$3 	imes QR = 48$.$QR = \frac{48}{3} = 16$.Therefore,the length of $QR$ is $16$.

In $\Delta ABC$ and $\Delta PQR$,$\frac{AB}{PQ} = \frac{BC}{QR} = \frac{AC}{PR}$. If $AB = 15$,$PQ = 20$ and $BC = 12$,find $QR$.

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