# Circumscribed 6568

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.

### Correct answer:

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#### You need to know the following knowledge to solve this word math problem:

**statistics**- geometric average
**algebra**- expression of a variable from the formula
**planimetrics**- Pythagorean theorem
- right triangle
- circle
- triangle
- The right triangle altitude theorem
**goniometry and trigonometry**- sine
- cosine
- arcsine

#### Units of physical quantities:

#### Grade of the word problem:

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