" 6.In an equilateral triangle "ABC,AD perp BC" ,prove that "AD^(2)=3BD^(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, AD _|_ BC . Prove that : AB^(2) + CD^(2) = 5/4 AC^(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 if AD(perp)/(BC) , then 5AB^(2)=4AD^(2)( b) 3AB^(2)=4AD^(2)(c)4AB^(2)=3AD^(2)(d)2AB^(2)=3AD^(2)

If ABC is an equilateral triangle such that AD perp BC, then AD^(2)=(3)/(2)DC^(2)(b)2DC^(2) (c) 3CD^(2)( d) 4DC^(2)

In Figure 2,AD perp BC. Prove that AB^(2)+CD^(2)=BD^(2)+AC^(2)

ABC is an equilateral triangle. AD is perpendicular to BC. Prove that AB^(2) + BC^(2) + CA^(2) =4AD^(2)

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

A point D is on the side BC of an equilateral triangle ABC such that DC=(1)/(4)BC. Prove that AD^(2)=13CD^(2)