True or False 10 points In order for three sides to be the sides of a right triangle.they do not have to make Pythagorean true. True False

## Step 1<br />The problem is asking whether three sides can form a right triangle without satisfying the Pythagorean theorem. The Pythagorean theorem is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This can be written as:<br />### \(a^2 + b^2 = c^2\)<br />where \(c\) represents the length of the hypotenuse, and \(a\) and \(b\) represent the lengths of the other two sides.<br /><br />## Step 2<br />If three sides do not satisfy the Pythagorean theorem, they cannot form a right triangle. Therefore, the statement "In order for three sides to be the sides of a right triangle, they do not have to make the Pythagorean true" is false.