Maths-

General

Easy

Question

# PQR is a triangle in which PQ=PR.S is any point on the side PQ. Through S, a line is drawn parallel to QR intersecting PR at T. Prove that PS = PT.

Hint:

### As we know angles opposite to Equal sides in a triangle are equal .

And the corresponding angles formed by two parallel and 1 intersecting line are equal.

Using these conditions we get the proof

## The correct answer is: Hence proved

### Aim :- Prove PS = PT

triangle are equal )—- Eq1

As ST || QR and SQ intersects then,

∠PQR = ∠PST (corresponding angles ) —- Eq2

As ST || QR and TR intersects then

∠PRQ = ∠PTS (corresponding angles )—- Eq3

Substitute Eq2 ,Eq3 in Eq1

We get ∠PST = ∠PTS

Then , PS = PT (sides opposite to equal angles in a triangle are equal)

Hence proved

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