Type of Triangle ABC

Consider a triangle ABC where the length of side AB is 10 units, the length of side BC is 24 units, and the length of side AC is 26 units. What type of triangle is triangle ABC, and how can its properties be determined?

To determine the type of triangle, you can use the Pythagorean theorem which states that for 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, check whether the following equation holds:

$$AC^2 = AB^2 + BC^2$$

Calculate the squares of each side's length, using $AB = 10$, $BC = 24$, and $AC = 26$.