Question

In the figure RS=QT AND QS=RT.prove that PQ=PR.​

Answer 1

Given:- RS=QT

QS=RT

To prove :-PQ=PR

Proof :- RS=QT (Given)

QS=RT (Given)

RQ=RQ (Common)

So ΔRQT is congruent to ΔQRS

Therefore angle is TQR= angle SRQ (CPCT)

PQ=PR (sides opposite to equal angles are equal)

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Answer 2

Answer:

Step-by-step explanation:

In tri. SRQ and tri. TRQ:

RS =QT [given]

RQ =RQ [common]

RT=SQ [given]

So tri. SRQ ~= tri TRQ (SSS)

an.SRQ =an.TQR. [cpct]

PR =PQ ( sides opp. to equal angles are equal)