Question

If $\Delta$PQR $\sim$ $\Delta$XYZ and $\frac{PQ}{XY}=\frac{5}{6}$, find the value of $\frac{PR}{XZ}$.

• A. $\frac{5}{6}$
• B. $\frac{6}{5}$
• C. $\frac{5}{2}$
• D. $\frac{1}{6}$

Answer 1

The correct option is A $\frac{5}{6}$

Given: $\Delta$PQR $\sim$ $\Delta$XYZ, $\frac{PQ}{XY}=\frac{5}{6}$

We know that corresponding sides of similar triangles are proportional.

So, $\frac{PQ}{XY}=\frac{QR}{YZ}=\frac{PR}{ZX}$

Hence, $\frac{PR}{XZ}=\frac{5}{6}$.