Triangle hypotenuse circle

In a right-angled triangle ABC with a right angle at the vertex C, the magnitudes of the hypotenuses are given ta=5, tb=2√10.
Calculate the side sizes of triangle ABC and the circle's radius described by this triangle.

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

algebra

quadratic equation
equation
system of equations
rearrange variables

arithmetic

square root

planimetry

Pythagorean theorem
right triangle
triangle

Grade of the word problem

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