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ABC is a triangle right angled at C with...

ABC is a triangle right angled at C with BC = a and AC = b. If p is the length of the perpendicular from C on AB, then which one of the following is correct ?

A

`a^(2)b^(2) = p^(2)(a^(2) + b^(2))`

B

`a^(2)b^(2) = p^(2)(b^(2)-a^(2))`

C

`2a^(2)b^(2) = p^(2)(a^(2) + b^(2))`

D

`a^(2)b^(2) = 2p^(2)(a^(2) + b^(2))`

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