You cut a picture into a right triangle for your scrapbook. the lengths of the legs of the triangle are 4 inches and 6 inches. is the length of hypotenuse a rational number? explain.

Its hypotenuse √52  and thus is not a rational number

Step-by-step explanation:

To solve this problem, we will follow the steps below;

If length of the legs of the triangle are 4 inches and 6 inches, to find the length of the hypotenuse, we will simply use the formula from the hypotenuse triangle;

hypotenuse² = opposite² + adjacent²

                   = 4²  +  6²

                   = 16 + 36

hypotenuse² = 52

hypotenuse = √52

hypotenuse =7.2111025509

Therefore hypotenuse is not a rational number because the 52 is not a perfect square and thus √52 has an unending values