Given Delta PQR sim Delta XYZ for the corresp | vedclass

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(A) Since $\Delta PQR \sim \Delta XYZ$,the ratios of their corresponding sides are equal:$\frac{PQ}{XY} = \frac{QR}{YZ} = \frac{PR}{XZ}$.From the give

Vedclass · Accepted Answer

$15$

Vedclass · Answer

(A) Since $\Delta PQR \sim \Delta XYZ$,the ratios of their corresponding sides are equal:$\frac{PQ}{XY} = \frac{QR}{YZ} = \frac{PR}{XZ}$.From the given equation $\frac{PQ}{3} = \frac{XY}{5}$,we can rearrange it to get $\frac{PQ}{XY} = \frac{3}{5}$.Substituting this ratio into the similarity condition $\frac{PQ}{XY} = \frac{QR}{YZ}$,we get:$\frac{3}{5} = \frac{9}{YZ}$.Cross-multiplying,we find $3 	imes YZ = 5 	imes 9$,which simplifies to $3 	imes YZ = 45$.Therefore,$YZ = \frac{45}{3} = 15$.

Given $\Delta PQR \sim \Delta XYZ$ for the correspondence $PQR \leftrightarrow XYZ$. If $\frac{PQ}{3} = \frac{XY}{5}$ and $QR = 9$,find the length of $YZ$.

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