A backyard is in the shape of a triangle ABC with right angle at B. AB = 7m and BC = 15 m. A circular pit was dug inside 1t such that it touches the walls AC, BC and AB at P, Q and R respectively such that AP = xm


Based on the above information, answer the following questions
(i) Find the length of AR in terms of x.
(ii) Write the type of quadrilateral BQOR.
(iii) (a) Find the length PC in terms of x and hence find the value of x.
OR
(b) Find x and hence find the radius r of circle.

Solution

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