[" 23.In right-angled triangle "ABC" in which "/_C=90^(@)" ,if "D" is the mid-point of "BC" ,pro "],[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)

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

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

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

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

In Fig.3,ABC is a right triangle,right angled at C and D is the mid-point of BC.Prove that AB^(2)=4AD^(2)-3AC^(2)

In Fig. 3, ABC is a right triangle, right angled at C and D is the mid-point of BC. Prove that AB^2 = 4AD^2 - 3AC^2 .