In an equilateral `triangleABC, AD` is the altitude drawn from A on the side BC. Prove that `3AB^(2) = 4AD^(2)`

In an equilateral triangle ABC, if AD is the altitude prove that 3AB^2 = 4AD^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, AD is drawn perpendicular to BC meeting BC in A Prove that AD^(2) = x BD^(2) Find x.

In an equilateral triangle ABC, D is a point of BC such that 4BD = BC. Prove that 16AD^(2)=13BC^(2) .

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

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

Solve the following sub question : In an equilateral triangle ABC, the side BC is trisected at D. prove that 9 AD^(2) = 7 AB^(2)