[" In right angled "/_BAC,quad BAC=90" ,serments "AD" ."],[BE" and CP are modians."],[" Prove that ":2(AD^(2)+BB^(2)+CF)=33C" ,""OHOTS"" ) "]

In right angled DeltaBAC,/_BAC=90^(@) ,segments AD, BE and CF are medians.Prove that 2(AD^(2)+BE^(2)+CF^(2))=3BC^(2)

In triangleABC , AD, BE, CF are the medians. Prove that, 4(AD^(2)+BE^(2)+CF^(2))= 3(AB^(2)+BC^(2)+AC^(2)) .

In triangle ABC,/_BAC=90^(@) and AB=AC. Seg AP is perpendicular to side BC.D is any point on side BC.Prove that 2(AD)^(2)=(BD)^(2)+(CD)^(2)

AD BE and CF are the medians of a Delta ABC .Prove that 2(AD+BE+CF)<3(AB+BC+CA)<4(AD+BE+CF)

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 Fig.4.112,/_BAC=90o and segment AD perp BC. Prove that AD^(2)=BD xx DC (FIGURE)

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 DeltaABC,/_BAC=90^@ and AB=AC.Seg AP _|_ side BC.B-P-C.Dis any points on side BC.Prove that 2AD^2=BD^2+CD^2

If AD, BE and CF are the medians of a ABC ,then (AD^(2)+BE^(2)+CF^(2)):(BC^(2)+CA^(2)+AB^(2)) is equal to

In triangle ABC, angle ABC =90^@ angle BAC =45^@ and AC =4 sqrt(2) cm , then find AB.