Question

In the given figure ∆ABC~∆PQR,then the value of x and y are? where ab=24,bc=6,ac=30and pq=16,qr=y,pr=x​

Answer 1

Answer:

As, two triangles are similar;

Therefore, By C.P.S.T:

The ratio of the corresponding sides are equal, i.e.,

$\frac{ab}{pr} = \frac{ac}{pr} = \frac{bc}{qr}$

$\frac{24}{16} = \frac{30}{x} = \frac{6}{y}$

On comparing one by one with LHS:

$\frac{24}{16} = \frac{30}{x}$

$x = \frac{30 \times 16}{24}$

∴ x=20 units

||ly,

$\frac{24}{16} = \frac{6}{y}$

$y = \frac{6 \times 16}{24}$

∴ y=4 units