Asked in: March 2025 board paperIn \(\Delta ABC\), DE || BC. If DB = 5.4 cm, AD = 1.8 cm, EC = 7.2 cm, then find AE.[Figure: \(\Delta ABC\) with D on AB and E on AC, seg DE parallel to side BC.]

Doubtly Asked 29 Oct 2026 Practice test ssc 10th Save WhatsApp Report

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Answer: AE = 2.4 cm

In \(\Delta ABC\), seg DE || side BC.

\(\therefore \dfrac{AD}{DB} = \dfrac{AE}{EC}\) ...... (basic proportionality theorem)

\(\therefore \dfrac{1.8}{5.4} = \dfrac{AE}{7.2}\)

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

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report

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