One of the legs of a right triangle measures 8 cm and its hypotenuse measures 10 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

To find the length of the other leg of the right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as:

a² + b² = c²

where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides.

In this case, we know that the hypotenuse (c) is 10 cm and one of the legs (a) is 8 cm. We want to find the length of the other leg (b). So we can set up the equation as follows:

8² + b² = 10²

Solving for b, we get:

b² = 10² - 8² b² = 100 - 64 b² = 36

Taking the square root of both sides, we find that b = 6 cm.

So, the length of the other leg of the triangle is 6 cm.