A right triangle has sides 6, 8 and 10. What is the radius of its inscribed circle?

Answer and explanation

Correct answer: C. 2

  1. Step 1: For a right triangle r = (a + b − c)/2. Step 2. r = (6 + 8 − 10)/2 = 2; check: area 24 divided by semiperimeter 12 is 2. Answer: 2. Why not the others: 2.4 is the altitude to the hypotenuse, not the inradius.

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