Joel is laying pipe for a sprinkler system before he plants his lawn. The lawn is a rectangle 15 feet long and 8 ft wide. He needs to lay a piece if pipe that will run diagonal along the lawn. It will

The diagonal piece of pipe will be the hypotenuse of the right triangle formed by the 15ft and 8ft sides of the lawn. We can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides equals the square of the hypotenuse. In this case, the two shorter sides are 15ft and 8ft: 15? + 8? = c? 225 + 64 = c? 289 = c? Taking the square root of both sides, we get: c = 17 Therefore, the length of the diagonal piece of pipe is 17ft.