Question

In $△PQR\sim △XYZ,PQ=5,QR=4,PR=7$. Then using SSS criteria, $XY$ and $YZ$ are in the ratio

• A. $4:5$
• B. $5:4$
• C. $4:7$
• D. $7:4$

Answer 1

The correct option is B $5:4$

given that

$\Delta PQR$ $\sim$ $\Delta XYZ$

$PQ=5,QR=4,PR=7$

the lengths of the corresponding sides of two similar triangles are proportional.

$\Rightarrow \frac{PQ}{XY}=\frac{QR}{YZ}=\frac{PR}{XZ}$

$\Rightarrow \frac{5}{XY}=\frac{4}{YZ}$

rearranging

$\Rightarrow \frac{5}{4}=\frac{XZ}{YZ}$

$XZ,YZ$ are in ratio of $5:4$