If Delta PQR sim Delta XYZ for the correspond | vedclass

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(D) Given that $\Delta PQR \sim \Delta XYZ$ under the correspondence $PQR \leftrightarrow ZYX$,the ratios of their corresponding sides are equal.This

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(D) Given that $\Delta PQR \sim \Delta XYZ$ under the correspondence $PQR \leftrightarrow ZYX$,the ratios of their corresponding sides are equal.This implies that $\frac{PQ}{ZY} = \frac{QR}{YX} = \frac{PR}{ZX}$.We are given $PQ = 6$,$QR = 8$,and $XY = 12$.From the correspondence $PQR \leftrightarrow ZYX$,the side $QR$ corresponds to $YX$.Thus,$\frac{PQ}{ZY} = \frac{QR}{YX}$.Substituting the given values: $\frac{6}{YZ} = \frac{8}{12}$.Simplifying the fraction $\frac{8}{12}$ gives $\frac{2}{3}$.So,$\frac{6}{YZ} = \frac{2}{3}$.Cross-multiplying gives $2 	imes YZ = 6 	imes 3$,which means $2 	imes YZ = 18$.Therefore,$YZ = \frac{18}{2} = 9$.

If $\Delta PQR \sim \Delta XYZ$ for the correspondence $PQR \leftrightarrow ZYX$,and given $PQ = 6$,$QR = 8$,and $XY = 12$,find the length of $YZ$.

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