Three triangles are arranged so that shares side with and shares side with

MATHEMATICS · Subjective · CBSE · Mathematics · Triangles · Triangles

Problem

Three triangles are arranged so that △PQR\triangle PQR shares side QRQR with △QRS\triangle QRS and △RSP\triangle RSP shares side RSRS with △QRS\triangle QRS. It is given that △PQR≅△QRS\triangle PQR \cong \triangle QRS (order of letters) and △QRS≅△RSP\triangle QRS \cong \triangle RSP (order of letters). (a) Name the side of △PQR\triangle PQR that is equal to side SPSP. (b) Prove that △PQR≅△RSP\triangle PQR \cong \triangle RSP.

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