In other words, given that the longest side c = the hypotenuse, and a and b = the other sides of the triangle: a 2 + b 2 = c 2. This is known as the Pythagorean equation, named after the ancient Greek …

Our free Pythagorean Theorem Calculator uses the formula a² + b² = c² (where a and b are the lengths of a right triangle and c is the hypotenuse), as shown in Figure 01 below. Note that the Pythagorean …

It works the other way around, too: when the three sides of a triangle make a2 + b2 = c2, then the triangle is right angled. Example: Does this triangle have a Right Angle? Does a2 + b2 = c2 ? Which …

For any three positive real numbers a, b, and c such that a2 + b2 = c2, there exists a triangle with sides a, b and c as a consequence of the converse of the triangle inequality.

A Pythagorean triple is any group of three integer values that satisfies the equation a2 + B2 = C2 is called a Pythagorean triple. therefore any triangle that has sides that form a Pythagorean triple must …

Oct 22, 2025 · Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right …

Note: In order for a2+b2=c2 to be true, the side length c must be the largest side length. So in order to test whether a triangle is right, you only need to plug in values where c is the largest among a,b,c.