The legs of a right triangle are 6 cm by 8 cm, find the radii of the inscribed and circumscribed circles.

Let’s find out how many centimeters the hypotenuse of such a triangle is determined:

√ (6 ^ 2 + 8 ^ 2) = √ (36 + 64) = √100 = 10.

As we know, the diameter of the circumscribed circle is equal to the hypotenuse, therefore, its radius will be equal to:

10: 2 = 5.

As you know, the radius of a circle that is inscribed in such a figure can be calculated using the following formula: (a + b – c): 2, where a and b are legs, and c is the hypotenuse.

Let’s calculate the radius of the inscribed circle:

(6 + 8 – 10): 2 = 2.

Answer: The radius of the described one is 5 cm, the inscribed one is 2 cm.