Question

If $LM||QR,\frac{PL}{LQ}=\frac{3}{5},PR=5.6cm$, then $PM$ is

• A. $2.4cm$
• B. $2.3cm$
• C. $2.1cm$
• D. $2.2cm$

Answer 1

The correct option is C $2.1cm$

Given that,

$LM||QR$

$\frac{PL}{LQ}=\frac{3}{5}$

$PR=5.6$cm

$PM=?$

Let the $PM=x$

then $MR=PR-PM$ $=5.6-x$

So, by this theorem,

$\frac{PL}{LQ}=\frac{PM}{MR}$

$\frac{3}{5}=\frac{x}{5.6-x}$

$16.8-3x=5x$

$16.8=5x+3x$

$8x=16.8$

$8x=16.8$

$x=\frac{16.8}{8}$

$x=2.1$cm

Then, $PM=x=2.1$cm

Hence, this is the answer.