In a right ΔABC right-angled at C, if D is the mid-point of BC, prove that BC^2 = 4(AD^2 − AC^2)

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asked Feb 14, 2018 in Mathematics by sforrest072 (157,439 points) 63 448 1258
edited Mar 5, 2018 by faiz

In a right ΔABC right-angled at C, if D is the mid-point of BC, prove that BC2 = 4(AD2 − AC2)

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answered Feb 14, 2018 by mdsamim (213,225 points) 5 10 21
selected Feb 14, 2018 by sforrest072
 
Best answer

To prove: BC2 = 4[AD2 − AC2]
We have, ∠C = 90° and D is the mid-point of BC.

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