In ABC and PQR , AD and PS are altitudes such that ABD PQS and ACD PRS . Prove that ABC PQR .

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

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912 Marks · March 2025 · Standard

In $\Delta ABC$ and $\Delta PQR$, AD and PS are altitudes such that $\Delta ABD \sim \Delta PQS$ and $\Delta ACD \sim \Delta PRS$. Prove that $\Delta ABC \sim \Delta PQR$.

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$\Delta ABD \sim \Delta PQS \implies \angle B = \angle Q$ --- (1)
$\Delta ACD \sim \Delta PRS \implies \angle C = \angle R$ --- (2)
From (1) & (2), we get $\Delta ABC \sim \Delta PQR$