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In triangle ABC, /ABC= 90^(@), AB= c uni...

In triangle ABC, `/_ABC= 90^(@)`, AB= c unit, BC= a unit, AC=b unit, CD is perpendicular to AB and CD= p unit.
Prove that : `(1)/(p^(2))=(1)/(a^(2))+(1)/(b^(2))`

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`(1)/(p^(2))=(1)/(a^(2))+(1)/(b^(2))`
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