Multiple choice

? ABC is a right - angled triangle at A with AB=6cm. and AC= 8cm. A circle with centre has been inscribed inside the triangle. Then find the radius of the circle.

  1. 3cm

  2. 2.5cm

  3. 2cm

  4. 1cm

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Triangle with sides 6, 8 is a 3-4-5 triangle scaled by factor 2. Hypotenuse = 10cm. For a right triangle, inradius r = (a + b - c)/2 where c is hypotenuse. So r = (6 + 8 - 10)/2 = 4/2 = 2cm. Alternatively, area = 24 = r × s where s = semiperimeter = 12, giving r = 2. Options A and D overestimate the inradius.

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