Final answer:
The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs. In this case, the length of the hypotenuse is approximately 18.0 inches.
Step-by-step explanation:
The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.
In this case, the legs of the triangle have lengths of 10 inches and 15 inches. So, we can use the equation a² + b² = c², where a and b are the lengths of the legs and c is the length of the hypotenuse.
Plugging in the values, we have 10² + 15² = c². Simplifying, we get 100 + 225 = c². Adding these numbers, we have 325 = c². Taking the square root, we find that the length of the hypotenuse is approximately 18.0 inches.