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Solution


Q.

A backyard is in the shape of a triangle ABC with right angle at B. AB = 7 m and BC 15 m. A circular pit was dug inside it 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 question:

Q.   Find the length of AR in terms of x.

Ans.

Given, AB = 7 m, BC = 15 m and AP = x m

Hence, AP = AR (Tangent drawn from an external point to the circle are equal in length)

∴ AR = x m