In a triangle ABC, the angle c is 90 degrees AC is 3, C is 4 find the radius of the circumscribed circle of this triangle.

In the initial data for this task, it is reported that the value of the angle C is 90 °.

Therefore, triangle ABC is right-angled.

To find the radius of a circle circumscribed around a given right-angled triangle, we will use the fact that the center of a circle circumscribed around any right-angled triangle lies on the hypotenuse of this triangle, divides it in half and is equal to half the length of the hypotenuse.

Using the Pythagorean theorem, we find the hypotenuse AB of this triangle:

| AB | = √ (| AC | ^ 2 + | BC | ^ 2) = √ (3 ^ 2 + 4 ^ 2) = √ (9 + 16) = √25 = 5.

Therefore, the radius of the circumscribed circle is 5/2 = 2.5.

Answer: 2.5.