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Question

ABC is a right angled in which LC=90o and CDAB. If BC=a,CA=b,AB=c and CD=p then prove that
cp=ab

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Solution

Area of triangle is base×height
When c is taken as base Then, p becomes height so the area is 12cp
When b is taken as base Then, a becomes height so the area is 12ab
Since area is same
ab=cp


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