Properties of a circle inscribed in a right triangle
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Radii of inscribed and circumscribed circles in right-angled triangle. In a right angled triangle, △ ABC, with sides a and b adjacent to the right angle, the radius of the inscribed circle is equal to r and the radius of the circumscribed circle is equal to R. Prove that in △ABC, a + b = 2 ⋅ ( r + R ) .
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