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If in a triangle ABC, the altitude AM be...

If in a triangle ABC, the altitude AM be the bisector of `/_BAD`, where D is the mid point of side BC, then prove that `(b^2-c^2)= (a^2)/(2)`.

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MOTION-SOLUTION OF TRIANGLE-EXERCISE - 3
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  18. If atanA+btanB=(a+b)tan((A+B)/2) prove that triangle ABC is isosceles.

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