[" 15.In an equilateral triangle "ABC" if "AD perp BC" ,then prove that "],[AD^(2)=2CD^(2)" ."]

Prove that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Use the above theorem, in the following. If ABC is an equilateral triangle with AD bot BC , then prove that AD^(2) = 3DC^(2) .

In an equilateral triangle ABC, AD _|_ BC . Prove that : AB^(2) + CD^(2) = 5/4 AC^(2)

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

In an equilateral triangle ABC the side BC is trisected at D. Prove that 9AD^(2)=7AB^(2)

In an equilateral ABC,AD perp BC, prove that AD^(2)=3BD^(2)

In an equilateral triangle ABC, if AD perp BC, then 2AB^(2)=3AD^(2)( b) 4AB^(2)=3AD^(2) (c) 3AB^(2)=4AD^(2)( d ) 3AB^(2)=2AD^(2)

In an equilateral triangle ABC,the side BC is trisected at D.Prove that: 9AD^2=7AB^2 .

In an equilateral triangle ABC if AD_|_BC then AD^2 = a) CD^2 b) 2CD^2 c) 3CD^2 d) 4CD^2

In an equilateral triangle ABC if AD(perp)/(BC) , then 5AB^(2)=4AD^(2)( b) 3AB^(2)=4AD^(2)(c)4AB^(2)=3AD^(2)(d)2AB^(2)=3AD^(2)