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Opposite & Adjacent Sides in a Right Angled Triangle

In Δ A B C, g...

Question

In ∆ABC, given that AB = AC and BD ⊥ AC. Prove that BC² = 2 AC. CD

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Solution

Since is right triangle right angled at D

Substitute

Now, in , we have

Therefore,

Hence proved.

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Q. In ∆ABC, if BD ⊥ AC and BC² = 2 AC . CD, then prove that AB = AC.

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