If ` A B C` is an equilateral triangle such that `A D_|_B C` , then `A D^2=` `(a) 3/2D C^2` (b) `2\ D C^2` (c) `3\ C D^2` (d) `4\ D C^2`

In an equilateral triangle A B C if A D_|_B C , then

In an equilateral triangle A B C if A D_|_B C , then A D^2 = (a) C D^2 (b) 2C D^2 (c) 3C D^2 (d) 4C D^2

In an equilateral A B C , A D_|_B C , prove that A D^2=3\ B D^2

In an equilateral triangle A B C , if A D_|_B C , then (a) 2\ A B^2=3\ A D^2 (b) 4\ A B^2=3\ A D^2 (c) 3\ A B^2=4\ A D^2 (d) 3\ A B^2=2\ A D^2

A point D is on the side B C of an equilateral triangle A B C such that D C=1/4\ B C . Prove that A D^2=13\ C D^2 .

In Figure, A B C is an obtuse triangle, obtuse angled at B . If A D_|_C B , prove that A C^2=A B^2+B C^2+2\ B CxxB D .

In an equilateral triangle A B C the side B C is trisected at D . Prove that 9\ A D^2=7\ A B^2

In an equilateral triangle ABC, D is a point on side BC such that B D=1/3B C . Prove that 9A D^2=7A B^2 .

D is a point on the side BC of a triangle ABC such that /_A D C=/_B A C . Show that C A^2=C B.C D .

A B C is a right triangle right-angled at A and A D_|_B C . Then, (B D)/(D C)= mm (a) ((A B)/(A C))^2 (b) (A B)/(A C) (c) ((A B)/(A D))^2 (d) (A B)/(A D)