True or falae. A triangle with size 11,24, and 25 is a right triangle.

True.

True. In a right triangle, the square of the length of the longest side (hypotenuse) is equal to the sum of the squares of the lengths of the other two sides. In this case, 11^2 + 24^2 = 121 + 576 = 697, and 25^2 = 625. Since 697 is equal to 625, the triangle with side lengths 11, 24, and 25 is a right triangle.

To determine whether a triangle is a right triangle, we need to check if the square of the length of the longest side is equal to the sum of the squares of the other two sides. In this case, let's test it out:

1. Square the lengths of the sides.
- Side 1: 11^2 = 121
- Side 2: 24^2 = 576
- Side 3: 25^2 = 625

2. Add the squares of the smaller sides.
- 121 + 576 = 697

3. Compare the sum above with the square of the longest side.
- 697 ≠ 625

Since 697 is not equal to 625, we can conclude that the triangle with side lengths 11, 24, and 25 is not a right triangle.

Hence, the statement "A triangle with size 11, 24, and 25 is a right triangle" is false.