triangle PQR is isoscles where pq=pr and ps=pt prove qt=rs
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Answered by
21
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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
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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