In the figure a circle touches the sides of ? ABC at P, Q, R. If AB=AC then prove that BR=CR Why is AP=AQ?

Circle with centre O touches the sides of the triangle at P, Q and R, AB=AC , AQ=4 centimetres and CQ=6 centimetres.What is the radius of the circle? .

Circle with centre O touches the sides of the triangle at P, Q and R, AB=AC , AQ=4 centimetres and CQ=6 centimetres. What is the length of CP? .

Circle with centre O touches the sides of the triangle at P, Q and R, AB=AC , AQ=4 centimetres and CQ=6 centimetres.Find the perimeter and the area of the triangle. .

In the figure, O is the center of the circle and A B and CD are chords with AB=CD Prove that angle < OAB=< OCD

In the figure given below P, Q, R are the mid points of the sides of AB, BC and AC of the triangle ABC . The area of the triangle ABC is 60 sq.cm. find the area of the parallelogram APQR.

If we can draw a circle, which touches four sides of a parrallellogram, then prove that the parallelogram is a rhombus.

In the figure, squareP=90^o . Sides of triangle APC are extended to B and D. Prove that, the circles drawn with the sides of a quadrilateral with perpendicular diagonals, will meet at a common point. .

In the figure, O is the centre of both the circles. AB and AC touch the small circle at P and Q.A,B and C are points on the large circle. Prove that Ab=AC . .

In the figure, O is the centre of both the circles. AB and AC touch the small circle at P and Q.A,B and C are points on the large circle. If AP=5 centimetres, then what is the length of AQ? .