`C D E` is an equilateral triangle formed on a side `C D` of a square `A B C Ddot` Show that ` A D E\ ~= B C Edot`

Delta C D E is an equilateral triangle formed on a side C D of a square A B C Ddot Show that Delta A D E\ ~= Delta B C E .

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

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 Figure, if A B C is an equilateral triangle. Find /_B D C\ a n d\ /_B E C

In Figure, A B C D is a quadrilateral and B E|A C and also B E meets D C produced at Edot Show that area of A D E is equal to the area of the quadrilateral A B C D

In Figure, it is given that A E=A D\ a n d\ B D=C Edot Prove that A E B\ ~= A D C

Any point D is taken in the base B C of a triangle A B C\ a n d\ A D is produced to E , making D E equal to A Ddot Show that a r\ ( B C E)=a r( A B C)

In a triangle A B C ,\ \ A D_|_B C and A D^2=B DxxC Ddot Prove that A B C is a right triangle.

A B C D is a cyclic quadrilateral. A Ba n dD C are produced to meet in Edot Prove that E B C-E D Adot

A B C is an isosceles triangle with A B=A C and D is a point on A C such that B C^2=A CxC Ddot Prove that B D=B C