Pythagorean Theorem Calculator
Calculate the length of the hypotenuse or a missing leg of a right-angled triangle. Find side lengths, angles, area, and perimeter instantly.
Pythagorean Theorem Formula
The Pythagorean Theorem describes the relationship between the three sides of a right-angled 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.
a² + b² = c²
- a, b: The legs of the triangle (sides adjacent to the right angle).
- c: The hypotenuse (the longest side).
Solving for Hypotenuse (c)
If you know the lengths of both legs ($a$ and $b$), you can find $c$ using: c = √(a² + b²)
Solving for a Leg (a or b)
If you know the hypotenuse ($c$) and one leg ($b$), you can find the other leg ($a$) using: a = √(c² - b²)
? Frequently Asked Questions
Yes. The Pythagorean Theorem is specifically for right-angled triangles (where one angle is exactly 90 degrees).
A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c². Common examples include (3, 4, 5) and (5, 12, 13).
The area of a right triangle is simple: (Base × Height) / 2. In this context, it corresponds to (a × b) / 2.