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(1)In Figure, AD is a median of a triangle ABC and AM⊥BC.Prove that :(i)AC2=AD2+BC×DM+(BC2)2(2)In Figure, AD is a median of a triangle ABC and AM⊥BC.Prove that : (ii)AB2=AD2−BC×DM+(BC2)2(3)In Figure, AD is a median of a triangle ABC and AM⊥BC.Prove that : (iii)AC2+AB2=2AD2+12BC2

Answer» (1)

In Figure, AD is a median of a triangle ABC and AM⊥BC.

Prove that :

(i)AC2=AD2+BC×DM+(BC2)2







(2)

In Figure, AD is a median of a triangle ABC and AM⊥BC.

Prove that : (ii)AB2=AD2−BC×DM+(BC2)2

(3)

In Figure, AD is a median of a triangle ABC and AM⊥BC.

Prove that : (iii)AC2+AB2=2AD2+12BC2


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