Question

Q.17 In the adjoining figure MN || QR if PN = 3.6 cm NR = 2.4 cm and PQ = 5 cm, then
PM is(in cm)
(A)
4
(B)
3.6
(C) 2
(D) 3​

Answer 1

Given : In a triangle PQR

MN II QR  

PN=3.6 cm

NR=2.4 cm  

PQ=5 cm

To Find :  PM

Solution:

Thales Theorem / BPT ( Basic Proportionality Theorem)  

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.

In  triangle PQR

MN II QR  

=> PM/MQ   = PN/NR

=> PM/MQ  = 3.6/2.4

=> PM/MQ  = 3/2

=> MQ = 2PM/3

PQ = PM + MQ

=> 5 = PM + MQ

=> 5 = PM + 2PM/2

=> 15 = 3PM + 2PM

=> 15 = 5PM

=> PM = 15/5

=> PM = 3

Length of PM is  3 cm

correct option is D) 3 cm

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Answer 2

Hello my friend

Above answer is corret