Question

In triangle ABC angle a is acute. Bd and cd are perpendicular on ac ab . Prove ab * ae =ac * ad

Answer 1

In △ ADB and △ AEC∠A = ∠A   [Common]∠ADB = ∠AEC   [Each 90°]∴ △ADB ~ △ AEC    [AA − Similarity]then, ADAE = ABAC    [Corresponding sides of 2 similartriangles are proportional]⇒ AB × AE = AC × AD                HENCE PROVED

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