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)`.

If in a triangle A B C , the altitude A M be the bisector of /_B A D ,w h e r eD is the mid point of side B C , then prove that (b^2-c^2)=a^2//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 a triangle ABC,B=90^(@) and D is the mid-oint of BC then prove that AC^(2)=AD^(2)+3CD^(2)

If D is the middle point of the side BC of the triangle ABC, prove that AB^2 + AC^2 = 2(AD^2 + DC^2) .

In an isosceles right-angled triangle ABC, /_B=90^(@) . The bisector of /_BAC intersects the side BC at the point D. Prove that CD^(2) =2BD^(2)

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

In a right ABC right-angled at C, if D is the mid-point of BC, prove that BC^(2)=4(AD^(2)-AC^(2))

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