Find the hypotenuse of a right-angled triangle if its legs are 25 cm and 60 cm.

By the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the legs: a ^ 2 + b ^ 2 = c ^ 2. Substituting into this formula data on the condition of the length of the legs, we get:
c ^ 2 = 25 ^ 2 + 60 ^ 2 = 625 + 3600 = 4225;
Taking the root from the found value, we calculate the length of the hypotenuse:
c = √4225 = 65 cm.