(a) In the figure (i) given below, the sides of the quadrilateral touch the circle. Prove that AB + CD = BC + DA.
(b) In the figure (ii) given below, ABC is triangle with AB = 10cm, BC = 8cm and AC = 6cm (not drawn to scale). Three circles are drawn touching each other with vertices A, B and C as their centres. Find the radii of the three circles
Solution:
More Solutions:
- The tangent at C meets AB produced at Q, ∠CAB = 34°.
- O is the center of the circumcircle of triangle XYZ.
- Two chords AB, CD of a circle intersect internally at a point P.
- PT is a tangent to the circle. Find TP if AT = 16 cm and AB = 12 cm.
- Given below, PAB is secant and PT is tangent to a circle.
- Two chords AB, CD of a circle intersect externally.