Question

plz fast ans this..... ​

Answer 1

Answer:

Step-by-step explanation:

Given:

$\frac{PX}{XQ}=\frac{PY}{YR}=\frac{1}{2}$

Taking reciprocals

$\frac{YR}{PY}=2\\\\\frac{PY+YR}{PY}=1+2\\\\\frac{PR}{PY}=3$

In ΔPXY and ΔPQR,

∠P=∠P (common)

∠PXY=∠Q (corresponding angles)

∠PYX=∠R (corresponding angles)

ΔPXY and ΔPQR are equiangular

By AAA similarity,

ΔPXY and ΔPQR are similar

Their corresponding sides are proportional

$\frac{PX}{PQ}=\frac{XY}{QR}=\frac{PY}{PR}\\\\This\:\: implies\\\\\frac{XY}{QR}=\frac{PY}{PR}\\\\\frac{XY}{QR}=\frac{1}{3}\\\\XY:QR=1:3$