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Heya !!⚫ Question :-⚫ Prove Apolloneous Theorem.⚫ Class :- 10th

Answer»

Heya!!

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Apollonius Theorem :

The sum of squares of any two side of a triangle equals twice the square of half the THIRD side, together with twice square of the median which BISECTS the third side.

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If ABC is a triangle and AD(median) bisects the third side BC then BD = CD.

CONSTRUCTION : Draw AE perpendicular to BC.

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To proof : AB^2 + AC^2 = 2(BD^2 + AD^2)

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HOPE it helps u :)



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