one leg of an isoceles right triangle measures 5 inches. round to the nearest tenth, what is the approximate length of the hypotenuse?

Because we know the leg with the measure is not the hypotenuse, the two legs would be 5 inches each. Using the Pythagorean Theorem, 5^2 + 5^2 = C^2, when C is the length of the hypotenuse. 5^2 is 25, so 25 + 25 = 50. We need to find the square root of 50, and the closest number is 7.07 or 7.1.