In , is the length of the altitude drawn from vertex to side . Prove that . Also…

MATHEMATICS · Subjective · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem

Problem

In △ABC\triangle ABC, hh is the length of the altitude drawn from vertex AA to side BCBC. Prove that 2(b2+c2)≥4h2+a22(b^2+c^2)\ge4h^2+a^2. Also discuss the case when equality holds true.

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