Two circles are drawn with sides `A B ,A C` of a triangle `A B C` as diameters. The circles intersect at a point `Ddot` Prove that `D` lies on `B Cdot`

Two circles are drawn with sides A B ,A C of a triangle A B C as diameters. The circles intersect at a point D . Prove that D lies on B C .

If circles are drawn taking two sides of a triangle as diameters, prove that the point of intersection of these circles lie on the third side

If circles are drawn taking two sides of a triangle as diameters, prove that the point ofintersection of these circles lie on the third side

Two circle with centres A and B intersect at C and Ddot Prove that /_A C B=/_A D Bdot

Prove that the circle drawn on any one of the equal sides of an isosceles triangle as diameter bisects the base. Given: A triangle A B C in which A B=A C and a circle is drawn by taking A B as diameter which intersects the side B C of triangle at D . To Prove: B D=D C Construction : Join A D .

A B and C D are two parallel chords of a circle whose diameter is A C . Prove that A B=C Ddot

A B C is a triangle in which D is the mid-point of B C and E is the mid-point of A Ddot Prove that area of B E D=1/4a r e aof A B Cdot

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

The perpendicular A D on the base B C of a triangle A B C intersects B C at D so that D B=3C D . Prove that 2\ A B^2=2\ A C^2+B C^2 .

Prove that the circle drawn with any side of a rhombus as a diameter, passes through the point of intersection of its diagonals.