The Pythagorean Theorem is a fundamental concept in mathematics, used to calculate the length of one side of a right triangle given the lengths of the other two sides. The theorem 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. In other words, if a and b are the lengths of the legs of a right triangle, and c is the length of the hypotenuse, then a² + b² = c².
The Pythagorean Theorem has numerous applications in various fields, including architecture, engineering, and physics. It can be used to calculate distances, angles, and other geometric properties of right triangles. Additionally, the Pythagorean Theorem is often used in trigonometry, which is the study of the relationships between angles and sides of triangles.
When using the Pythagorean Theorem to solve problems, it's important to remember that it only applies to right triangles. If a triangle is not a right triangle, the theorem does not apply. Additionally, the Pythagorean Theorem can only be used to find the length of the hypotenuse if the lengths of the other two sides are known.
Our Pythagorean calculator can help you quickly and easily calculate the length of the hypotenuse or one of the legs of a right triangle using the Pythagorean Theorem. Simply enter the lengths of the two known sides, and the calculator will solve for the length of the unknown side.