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For a right triangle with legs 5 cm and 12 cm, the radius of the inscribed circle equals:
Answer & Solution
Correct answer: A.
1. The hypotenuse equals √(5² + 12²) = 13 cm.
2. Area A = (1/2)(5)(12) = 30 cm².
3. Semi-perimeter s = (5 + 12 + 13)/2 = 15.
4. r = A/s = 30/15 = 2 cm.
5. So the incircle radius is 2 cm.
_Source: SCERT Kerala Std X Mathematics Part-2, Chapter 7-8 (pp 180-199, 2019 ed.)._
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