In a right triangle ABC with a right angle at the vertex C, it is given: a = 17cm, Vc = 8 cm. Calculate the length of the sides b, c, its area S, the perimeter o, the length of the radii of the circles of the triangle circumscribed by R and inscribed r and the magnitude of the angles alpha and beta.
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You need to know the following knowledge to solve this word math problem:
- geometric average
- expression of a variable from the formula
- Pythagorean theorem
- right triangle
- The right triangle altitude theorem
- goniometry and trigonometry
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