Q. 34.5( 10 Votes )

In figure, if <sp

Answer :

Given: ∆ NSQ ∆MTR

1 = 2




SQ = TR ….(i)


1 = 2 PT = PS….(ii)

[Since, sides opposite to equal angles are also equal]

From Equation (i) and (ii).


ST || QR

By converse of basic proportionality theorem, If a line is drawn parallel to one side of a triangle to intersect the other sides in distinct points, the other two sides are divided in the same ratio.

1 = PQR


2 = PRQ

In ∆PTS and ∆PRQ.

P = P [Common angles]

1 = PQR (proved)

2 = PRQ (proved)


[By AAA similarity criteria]

Hence proved.

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