Q.2 (B)(1) In Δ ABC, DE || BC. If DB = 5.4 cm, AD = 1.8 cm, EC = 7.2 cm, then find AE.[Figure: Δ ABC with D on AB and E on AC, DE parallel to BC.]

Doubtly Asked 24 Oct 2026 ssc 10th Save WhatsApp Report

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Answer: AE = 2.4 cm

By the basic proportionality theorem, \(\dfrac{AD}{DB} = \dfrac{AE}{EC}\).

\(\dfrac{1.8}{5.4} = \dfrac{AE}{7.2}\), so \(AE = \dfrac{1.8 \times 7.2}{5.4} = \dfrac{7.2}{3} = 2.4\) cm.

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report

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