(a) If a, b, c are the sides of a right triangle where c is the hypotenuse, prove that the radius r of the circle which touches the sides of the triangle is given by
(b) In the given figure, PB is a tangent to a circle with centre O at B. AB is a chord of length 24 cm at a distance of 5 cm from the centre. If the length of the tangent is 20 cm, find the length of OP.
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.