s. The length of one leg of a right triangle is 5 centimeters shorter than the hypotenuse. The hypotenuse is 15 centimeters. What is the length of the unknown leg of the right triangle rounded to the nearest tenth?

To find the length of the unknown leg of the right triangle, we start with the information given. The hypotenuse is 15 cm, and one leg is 5 cm shorter than the hypotenuse. So, the length of that leg would be 15 cm - 5 cm = 10 cm. Now, we can use the Pythagorean theorem, which states that for a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the legs (a and b): c² = a² + b². Using our values: 15² = 10² + b². This gives us 225 = 100 + b². Rearranging gives b² = 225 - 100 = 125. To find b, we take the square root, yielding b = √125, which is approximately 11.2 cm when rounded to the nearest tenth. Thus, the length of the unknown leg of the right triangle is about 11.2 centimeters.