If the two right sides of a right triangle are 5 and 12, then the circumcircle radius of the right triangle is------------- And the radius of the inscribed circle-------

If the two right sides of a right triangle are 5 and 12, then the circumcircle radius of the right triangle is------------- And the radius of the inscribed circle-------

Circumscribed circle: the circle passes through the three vertices of the triangle. The distance from the center of the circle to each point is equal to the radius of the circle. If the distance from a point to the two ends of a line segment is equal, the point is on the vertical bisector of the line segment, so the center of the circle is the intersection of the vertical bisectors of the three sides of the triangle

It is known that if the radius of the circumscribed circle of an isosceles right triangle is 5, what is the radius of its inscribed circle

Let the isosceles right triangle ABC, the hypotenuse BC be the circumscribed circle diameter, 10, the right side be 5 √ 2, the heart I and the two tangent points D and e of the right side, the right vertex a form a square, and the tangent point of the hypotenuse is f, CE = CF = 5,
So the radius of inscribed circle r = 5 √ 2-5

If the two right sides of a right triangle are 5cm and 12cm respectively, the radius of its circumscribed circle is______ ．

∵ the two right sides of a right triangle are 5cm and 12cm, respectively. According to the Pythagorean theorem, the length of the hypotenuse of the right triangle is 52 + 122cm = 13cm; the radius of its circumcircle is 132cm; so the answer is: 132cm