In \(\triangle ABC\), AD is a median, \(BC = 10\) and \(AD = 6\). Then \(AB^2 + AC^2 = \)

A. 72

B. 100

C. 122

D. 136

Doubtly AI Asked 24 Oct 2026 AI-verified · Oct 2026 ssc 10th Save WhatsApp Report

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Best answer

Answer: C. 122

By Apollonius' theorem, \(AB^2 + AC^2 = 2AD^2 + 2BD^2 = 2(36) + 2(25) = 122\) (since \(BD = 5\)).

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

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