S and T are points on sides PR and QR of △ PQR such that ∠ P = ∠ RTS . Show that △ RPQ △ RTS.

CBSE Class 10 Maths PYQ · Triangles · Similarity with Triangles · 2 Marks · July 2025 · Standard

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782 Marks · July 2025 · Standard

S and T are points on sides PR and QR of $\triangle$ PQR such that $\angle P = \angle RTS$. Show that $\triangle$ RPQ $\sim \triangle$ RTS.

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In $\triangle$ RPQ and $\triangle$ RTS,
$\angle P = \angle RTS$
$\angle PRT = \angle SRT$
$\therefore \triangle RPQ \sim \triangle RTS$