## Task A-1.3.

The lengths of the legs of a right triangle are $6 \mathrm{~cm}$ and $8 \mathrm{~cm}$. What is the radius of the circle circumscribed around this triangle?
## Solution.

According to the Pythagorean theorem, the length of the hypotenuse of the triangle is $10 \mathrm{~cm}$.

1 point

In a right-angled triangle, the center of the circumscribed circle is at the midpoint of the hypotenuse, and the length of the radius of the circumscribed circle is equal to half the length of the hypotenuse.

The desired radius is $5 \mathrm{~cm}$.