Math, asked by kushagrakakkar, 1 year ago

triangle PQR is isoscles where pq=pr and ps=pt prove qt=rs

Answers

Answered by priya1359
21

HELLO MATE ♥️♥️

In triangle PQR,

PQ=PR [Given]

= angle PRQ=angle PQR[angle opposite to the equal sides are equal]......(1)

since ST|| QR and PQ is a transversal,then

angle PQR = angle PST (corresponding angles).....(2)

since PQ || QR and PR is a transversal,then

angle PRQ=angle PST (corresponding angles).....(3)

but angle PQR = angle PRQ , then from (2) and (3) we get

angle PST = angle PTS

In triangle PST

angle PST = angle PTS (proved)

therefore PT = PS (sides opposite to equal angles are equal) 

hope it helps

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Answered by fbbackupbretta
1

Answer:

we get qt=rs by making two isosceles triangles

Step-by-step explanation:

triangle pqr=triangle pts

then take qt=rs

we get it

hence proved that qt=rs

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