Please answer immedediately : In tri.ABC ,angle A = 90 and I is it's incentre .The perpendicular distance of I from BC is 8^1/2 .The length of AI is

a) 4 units b) 8 units c) 2^1/2 units d) 2 units

As I cannot make the figure see the radius will be 8^1/2. Now using tangent propert make a square in the traingle with respect to Incentre. As diagonal ofsquare is side * 2^1/2. So side of square will be radius of square = 2 * 2^1/2 * 2^1/2

= 4

Answer: 4 units

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Ans: a) 4 units.