In Figure 3, `AD _|_BC` and `BD=1/3CD`. Prove that `2 CA^2 = 2 AB^2 + BC^2`.

In Figure 3,AD perp BC and BD=(1)/(3)CD Prove that 2CA^(2)=2AB^(2)+BC^(2)

In Figure 2, AD _|_ BC . Prove that AB^2 + CD^2 = BD^2 + AC^2 .

In an equilateral triangle ABC, D is a point on side BC such that BD = (1)/(3) BC. Prove that 9 AD^(2) = 7 AB^(2) .

In an equilateral triangle ABC, D is a point on side BC such that BD = 1/3 BC . Prove that 9 AD^(2) = 7 AB^(2) .

In an equilateral triangle ABC, D is a point on side BC such that BD = (1)/(3) BC. Prove that 9 AD^(2) = 7 AB^(2) .

In triangle ABC , seg AD_|_side BC , B-D-C. Prove that AB^2+CD^2=BD^2+AC^2

In the given figure , BD bot AC .Prove that AB^2 +CD^2 = AD^2 +BC^2

In Delta ABC, "seg" AD bot "seg" BC, DB = 3CD . Prove that: 2 AB^(2) = 2AC^(2) + BC^(2)

In the given figure below, If AD bot BC , prove that AB^2+ CD^2 = AC^2 + BD^2 .

In Delta ABC , AD bot BC and AD^(2)= BD xx CD . Prove that AB^(2) + AC^(2) = (BD + CD)^(2)