In the given figure, MN ǁ QR and PM=3cm , MQ=4cm, PN=6cm, PR=x cm, then x=? (a) 8cm (b) 10cm (c) 12cm (d) 14cm
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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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