[" 104.In triangle "ABC,/_B=90^(@)" and "D" is the "],[" mid-point of side "BC" .Prove that : "],[qquad AC^(2)=AD^(2)+3CD^(2)]

In a triangle ABC, B=90^@ and D is the mid-oint of BC then prove that AC^2=AD^2+3 CD^2

In the given figure, triangle ABC is a right triangle with angleB=90^(@) and D is mid-point of side BC. Prove that : AC^(2)=AD^(2)+3CD^(2)

In a triangle ABC,B=90^(@) and D is the mid-oint of BC then prove that AC^(2)=AD^(2)+3CD^(2)

In Delta ABC, angle B = 90^(@) and d is the mid - point of BC. Prove that AC ^(2) = AD^(2) + 3CD ^(2)

In the given figure ABC is a right angled triangle with angleB=90^(@) . D is the mid -point of BC . Show that AC^(2) = AD^(2) +3CD^(2) .

In right-angled triangle ABC in which /_C=90^(@), if D is the mid-point of BC, prove that AB^(2)=4AD^(2)-3AC^(2)

In a triangle ABC,AC>AB,D is the mid- point of BC and AE perp BC .Prove that: (i) AC^(2)=AD^(2)+BCDE+(1)/(4)BC^(2)

In a right-angled triangle ABC, angleABC=90^(@) and D is mid-point of AC. Prove that BD=(1)/(2)AC .

In a triangle ABC,AC>AB,D is the mid- point of BC and AE perp BC .Prove that: (i) AB^(2)=AD^(2)-BCDE+(1)/(4)BC^(2)( (ii) AB^(2)+AC^(2)=2AD^(2)+(1)/(2)BC^(2)

In triangle ABC , angle C = angle 90 , D is the mid point of BC, Prove that AB^2 = 4AD^2 -3AC^2 .