In the Fig. AD and BE are medians of `triangle ABC and BE "||" DF ` . Prove that `CF = 1/4` AC.

In the Fig. AD and BE are medians of DeltaABC and BE"||"DF . Prove that CF=(1)(4)AC.

BL and CM are medians of a triangle ABC right angled at A. Prove that 4(BL^2+CM^2)=5BC^2 .

Given that triangle ABC~triangle PQR , CM and RN are respectively the medians of similar triangles triangle ABC and triangle PQR . Prove that triangle AMC ~ triangle PNR

Given that triangle ABC~triangle PQR , CM and RN are respectively the medians of similar triangles triangle ABC and triangle PQR . Prove that triangle CMB ~ triangle RNQ

ABC is an isosceles triangle right angled at C. Prove that AB^2=2AC^2 .

In triangle ACB , angle C = 90^@ and CD bot AB . Prove that BC^2/AC^2 = BD/AD .

ABC is an isosceles Triangle right angled at C. Prove that AB^2=2AC^2 .

In an equilateral triangle ABC, if AD is the altitude prove that 3AB^2 = 4AD^2 .

In the given figure, DE||AC and DF||AE . Prove that (BF)/(FE)=(BE)/(EC) .