A right-angled triangle has shorter sides and . What is the radius of its inscribed circle?
Answer and explanation
Correct answer: B.
- Step 1: The hypotenuse is , and the area is .
- Step 2: The inradius is .
Answer
.
Why not the others: and are half of each shorter side; is a quarter of the hypotenuse; is not the area divided by the semi-perimeter, which is .
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