Determine what sides form a right triangle

To determine the sides of a right triangle, we need to have information about the length of at least two sides.

In a right triangle, one angle is always a right angle, which means it measures 90 degrees. The sides adjacent to the right angle are called the legs, and the side opposite the right angle is called the hypotenuse.

If we have the lengths of the two legs of a right triangle, we can determine the length of the hypotenuse using the Pythagorean theorem. The Pythagorean theorem states that 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 two legs.

Let's say the lengths of the two legs of the right triangle are a and b, and the length of the hypotenuse is c. The relationship can be expressed as:

a^2 + b^2 = c^2

If we know the lengths of any two sides of a right triangle, we can use this formula to determine the length of the third side.