in triangle PQR, PS is perpendicular to QR and PS2 = QS* RS, then prove that PQR is right angles - Maths - Triangles

Question

in triangle PQR, PS is perpendicular to QR and PS2 = QS*
RS, then prove that PQR is right angles at P

Rishabh Mittal · Accepted Answer

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PS2=QS
RSPSQS=RSPSIn △PSR and △QSPPSQS=RSPS∠PSR=∠QSP=90°By SAS Similarity criterion ,△PSR~△QSPTherefore, ∠RPQ=90°By converese of theorem , that perpendicular drawn from right angled of right angled triangles divides the triangle in two similar triangles

in triangle PQR, PS is perpendicular to QR and PS2 = QS* RS, then prove that PQR is right angles at P

in triangle PQR, PS is perpendicular to QR and PS²= QS* RS, then prove that PQR is right angles at P