d and e are points on the sides ca and cb respectively of a triangles abc right angled at c . prove that ae²+bd²=ab²+de²
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ae^2 = ac^2 + ce^2
bd^2 = dc^2 + bc^2
add these two
ae^2 + bd^2 = ac^2 + ce^2 + dc^2 + bc^2
= (ac^2 + bc^2) + (ce^2 + dc^2)
For right triangles abc and dce
=ab^2 + de^2
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