Question

Given, $\Delta ABC\sim \Delta PQR$.

Find the values of y and z.

• A. $y=3\sqrt{3}$
• B. $y=4\sqrt{3}$
• C. $z=6$
• D. $z=4$

Answer 1

Answer: (A), (D)

The correct options are
A

$y=3\sqrt{3}$

D

$z=4$

Since $\Delta ABC\sim \Delta PQR$

$\therefore \frac{3}{z}=\frac{y}{4\sqrt{3}}=\frac{6}{8}$

$\therefore \frac{3}{z}=\frac{y}{4\sqrt{3}}=\frac{3}{4}$

When we take

$\therefore \frac{3}{z}=\frac{3}{4}$

$3z=12$

$z=4$

And

$\frac{y}{4\sqrt{3}}=\frac{3}{4}$

$y=3\sqrt{3}$