Inscribed and circumscribed circles in the right triangle
Online calculator for calculating the inscribed and circumscribed circle of a right triangle.
If only the lengths of the right triangle's legs are known a and b, and the length of the hypotenuse is unknown c, you can calculate the radii of the inscribed r and circumscribed R circles using the following formulas:
Radius of the inscribed circle: r = (a + b - c) / 2,
where c - length of the hypotenuse, which can be found using the Pythagorean theorem: c = √(a^2 + b^2).
Radius of the circumscribed circle: R = c / 2
To calculate the radii of the inscribed and circumscribed circles, first use the Pythagorean theorem to find the length of the hypotenuse c, and then apply the formulas for calculating the radii of the circles.