Find one of the legs of a right-angled triangle if the other leg is 3 cm, and the radius of the circumscribed circle is 2.5 cm.

As we know from the school geometry course, the diameter of such a circle will be the hypotenuse of the triangle.

Therefore, first we will determine what the hypotenuse will equal, because according to the condition of our task, the radius of the circle is 2.5 centimeters:

2 * 2.5 = 5.

Now we can determine how long the required leg will be, because according to the condition of our task, we know that the length of the known leg is 3 centimeters:

√ (5 ^ 2 – 3 ^ 2) = √ (25 – 9) = √16 = 4.

Answer: Under such conditions, its length is 4 cm.