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in Mathematics by (64.7k points)

Δ ABC is a right angled triangle with A = 90°, AB = b cm, AC = a cm, and BC = c cm A circle is inscribed in this triangle. The radius of the circle, in cm, is :

(1) a + b – c

(2) 1/2 (a + b – c)

(3) 1/2 (a – b + c)

(3) √(a2 +b2 +c2)

1 Answer

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Best answer

Correct option (2) 1/2 (a + b – c)

Explanation:

c2 = a2 + b2

c2 + 2ab = (a + b)2

ab = (a+ b+ c)(a+ b -c)/2

r = a.b/(a+b+c) = a +b -c/2

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