JEE Mathematics · Hard

Trigonometry: Inradius MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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InradiusHardQuestion 200037

Question

The inradius r of a triangle is given by:
  1. A
    r = Δ/s
    Correct
  2. B
    r = s/Δ
  3. C
    r = abc/(4Δ)
  4. D
    r = Δ/(s − a)

Correct answer

r = Δ/s

Explanation

Inradius r = Area/semi-perimeter = Δ/s, where s = (a+b+c)/2.