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In Figure, A B C is a right triangle rig...

In Figure, `A B C` is a right triangle right angled at `B` and points `Da n dE` trisect `B C` . Prove that `8A E^2=3A C^2+5A D^2dot`

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Since D and E are the points of trisection of BC,
therefore `BD = DE = CE`
Let `BD = DE = CE = x`
Then `BE = 2x and BC = 3x `
...
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