Question

PQR is a triangle XY is drawn parallel to QR meeting PA at X and PR at Y. If PX/XQ = 3/5 and PR = 6cm find PY​

Answer 1

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Answer 2

PY=2.25cm

Step-by-step explanation:

XY is parallel to QR.

$\frac{PX}{XQ}=\frac{3}{5}$

$PR=6cm$

Using triangle proportionality theorem

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

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

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

$1+\frac{5}{3}=\frac{PY+YR}{PY}$

$\frac{3+5}{3}=\frac{PR}{PY}$

$\frac{8}{3}=\frac{6}{PY}$

$PY=\frac{6\times 3}{8}=\frac{9}{4}=2.25$cm

Hence, PY=2.25cm

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https://brainly.in/question/3080346:Answered by Nikitasingh