state and prove converse pythageoras theorm
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Draw a triangle ABC with AC sq = BC sq + AB sq.
Then draw another triangle PQR with angle Q=90°,AB=PQ,BC=QR.
In triangle PQR,
PR sq = PQ sq + QR sq.
PR sq = AB sq + BC sq[since construction]
AC=PR.
In triangles ABC & PQR,
AC=PR
AB=PQ
BC=QR
Triangles ABC & PQR are congruent.
AngleB=angleQ=90°
Hence proved
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