Question

in the given figure mn||qr and pm=3cm,mq=4cm,pn=6cm,pr=x cm find the value of x​

Answer 1

Given : MN ǁ QR and PM=3cm , MQ=4cm, PN=6cm, PR=x cm, then x=?

To Find :  Value of x

a) 8cm (b) 10cm (c) 12cm (d) 14cm

Solution:

if a line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the same ratio.  ( BPT , Thales Theorem )

=> PM/MQ = PN/NR

PM=3cm ,

MQ=4cm,

PN=6cm,

NR = PR - PN = x - 6 cm

3/4  = 6/(x - 6)

=> 3x - 18 = 24

=> 3x = 42

=> x = 14 cm

Option d is correct.

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