Question

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12. In the adjoining figure, PQR is an isosceles triangle
in which PQ = PR. S and T are the points on PQ and
PR respectively such that PS = PT.
Is SR = QT? Given reasons in support of your
answer.​

Answer 1

Answer:

yes, SR=QT

Step-by-step explanation:

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Answer 2

Answer with -by-step explanation:

In triangle PQR

PQ=PR

Angle made by two equal sides are equal

Angle SQR=Angle TRQ

PQ=PR

PS=PT

PQ-PS=PR-PT

SQ=TR

In triangle SQR and triangle TRQ

SQ=TR

Angle SQR=Angle TRQ

QR=QR (Common)

$\triangle$SQR$\cong\triangle$TRQ

Reason:SAS Postulate

SR=QT

Reason:CPCT

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