One of the legs of a right-angled triangle is 12 cm, and the radius of the circumscribed circle is 6.5. Find S.
| December 5, 2020 | education
If a circle is described around a right-angled triangle, then the hypotenuse coincides with the diameter, then the hypotenuse = 6.5 * 2 = 13 cm
Pythagorean triple 13 12 5, which means the second leg is 5 cm
S = a * b * c / 4R
S = 13 * 12 * 5/4 * 6.5 = 30 cm ^ 2
Or
S = a * b / 2
S = 12 * 5/2 = 30 cm ^ 2
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