Final answer:
To solve for the unknown hypotenuse in a Pythagorean Theorem word problem, you can use the equation a² + b² = c². For example, if one leg of a right triangle is 8 units and the other leg is 6 units, you can find the length of the hypotenuse by plugging these values into the equation and solving for c. In this case, the length of the hypotenuse is 10 units.
Step-by-step explanation:
To create a word problem using the Pythagorean Theorem, let's say there is a right triangle with one leg measuring 8 units and the other leg measuring 6 units. We want to find the length of the hypotenuse. The word problem could be: Tom is building a ladder to reach the roof of his house. If the distance from the base of the ladder to the house is 8 feet and the distance from the base to the top of the ladder along the roof is 6 feet, what is the length of the ladder? To solve this, we can plug the values into the Pythagorean Theorem equation: a² + b² = c². So, 8² + 6² = c², which simplifies to 64 + 36 = c². Adding those together, we get 100 = c². Taking the square root of both sides to solve for c, we find that the length of the ladder, or the hypotenuse, is 10 feet.