Final answer:
Yes, the triangle with side lengths of 10 inches, 24 inches, and 26 inches is a right triangle.
Step-by-step explanation:
In order to determine if a triangle is a right triangle, we can use the Pythagorean theorem. According to the theorem, in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, we have side lengths of 10 inches, 24 inches, and 26 inches. By applying the Pythagorean theorem, we can determine if the triangle is a right triangle:
Since the equation holds true, we can conclude that the triangle with side lengths of 10 inches, 24 inches, and 26 inches is indeed a right triangle.