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ABC is a triangle right-angled at B and ...

ABC is a triangle right-angled at B and D is a point on BC produced (BD > BC), such that BD = 2 DC. Which one of the following is correct?

A

`AC ^(2) = AD ^(2) - 3CD ^(2)`

B

`AC ^(2) = AD ^(2) - 2 CD ^(2)`

C

`AC ^(2) = AD ^(2) - 4 CD ^(2)`

D

`AC ^(2) = AD ^(2) - 5 CD ^(2)`

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