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Multiple choice

What is the radius of the circle inscribed in a triangle having side lengths $35$ cm, $44$ cm and $75$ cm

  1. $3$ cm
  2. $4$ cm
  3. $5$ cm
  4. $6$ cm
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Semi-perimeter s = (35+44+75)/2 = 77. Area = sqrt(77 * (77-35) * (77-44) * (77-75)) = sqrt(77 * 42 * 33 * 2) = sqrt(213444) = 462. Inradius r = Area/s = 462/77 = 6.

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