If a line intersects sides AB and AC of △ ABC at D and E respectively, and is parallel to BC, prove that AD/AB = AE/AC .

CBSE Class 10 Maths PYQ · Triangles · BPT & Converse · 2 Marks · July 2025 · Standard

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322 Marks · July 2025 · Standard

If a line intersects sides AB and AC of $\triangle$ ABC at D and E respectively, and is parallel to BC, prove that $\frac{AD}{AB} = \frac{AE}{AC}$.

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$\triangle ADE \sim \triangle ABC$
$\therefore \frac{AD}{AB} = \frac{AE}{AC}$