Question

in an adjoining figure PM=4.8,MR= 2.4,QN=5.4, NR=3.6 .State weather seg MN is parallel to seg PQ or not

Answer 1

Given :   PM = 4.8, MR = 2.4, P-

ON = 5.4, NR = 3.6.

To Find : seg MN is parallel to side PQ  or not

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.

Converse :

if a line intersecting the  two sides,   in the same ratio then it is parallel to 3rd side.

PM = 4.8  ,

MR = 2.4

=> PM/MR = 4.8/2.4 = 2/1

QN = 5.4

NR = 3.6

=> QN/NR  = 5.4/3.6  = 3/2

2/1  ≠ 3/2

PM/MR ≠  QN/NR  

Hence MN is not parallel to PQ

Learn More:

थेल्स प्रमेय(BPT) का कथन लिखकर उसे ...

brainly.in/question/21435493

if a line divides any two sides of a triangle in the same ratio then the ...

brainly.in/question/25977302