or the following right triangle, find the side length . Round your answer to the nearest hundredth.one side is 5 and the other side is 10

The triangle you're describing is a right triangle, and you're trying to find the length of the hypotenuse (the side opposite the right angle).

You can use the Pythagorean theorem to solve this. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

In mathematical terms, this is written as: a² + b² = c²

In your triangle, one side (a) is 5 and the other side (b) is 10. You're trying to find the length of the hypotenuse (c).

So, you can set up the equation as follows:

5² + 10² = c² 25 + 100 = c² 125 = c²

To solve for c, you take the square root of both sides of the equation:

c = √125

Using a calculator, you find that √125 is approximately 11.18.

So, the length of the hypotenuse of your triangle is approximately 11.18.