Final answer:
The measure of the other leg of the right triangle is 14.1 cm.
Step-by-step explanation:
The measure of the other leg can be found by using the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse. In this case, one leg measures 5 cm and the hypotenuse measures 15 cm. Let's denote the other leg as 'x'. So, by applying the Pythagorean theorem, we have:
52 + x2 = 152
Simplifying this equation, we get:
25 + x2 = 225
Subtracting 25 from both sides:
x2 = 200
Taking the square root of both sides:
x = √200
Rounding this value to the nearest tenth:
x = 14.1 cm