Find the radii of the circles circumscribed about a right-angled triangle with legs 5 cm and 12 cm and inscribed in it.

univerkov | December 3, 2020 | education

first we find the hypotenuse by the Pythagorean theorem
x ^ 2 = 144 + 25
x = 13
R = 13/2 = 6.5 cm
r = 2S / p = 2 (12 * 5/2) / (12 + 5 + 13) = 60/30 = 2 cm
answer: R = 6.5cm r = 2cm

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