Properties of a circle inscribed in an right angled triangle
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"If a right triangle is inscribed in acircle, then its hypotenuse is a diameter of the circle. If one side of atriangle inscribed in a circle is a diameter of the circle, then the triangleis a right triangle and the angleopposite the diameter is the right angle."
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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...
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