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A circle is inscribed in a right triangle whose legs are 5 cm and 12 cm. The radius of the inscribed circle is
A1 cm
B2 cm
C3 cm
D4 cm
Answer & Solution
Correct answer: B. 2 cm
1. Hypotenuse = square root of (25 + 144) = 13 cm.
2. For a right triangle, r = (a + b - c)/2 = (5 + 12 - 13)/2.
3. r = 4/2 = 2 cm.
_Source: NCERT Class 10 Mathematics, Ch 10 "Circles", §10.3_
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