Pythagorean theorem calculator
Pythagorean theorem calculator: Easily calculate the length of a side in a right triangle using the Pythagorean theorem formula. Get accurate results with this convenient online tool. Solve for either the hypotenuse or one of the legs. Simply input the known values and let the calculator do the rest
Hypotenuse (c) calculation:
What is Pythagorean theorem calculator
A Pythagorean theorem calculator is a tool that helps you find the length of one side of a right triangle when you know the lengths of the other two sides. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
To use a Pythagorean theorem calculator, you simply input the lengths of the two known sides, and the calculator will compute the length of the unknown side using the formula:
c = √(a^2 + b^2)
Where:
- c represents the length of the hypotenuse (unknown side).
- a and b represent the lengths of the other two sides.
The calculator provides a quick and accurate solution, allowing you to easily find the missing side length in a right triangle based on the Pythagorean theorem.
Pythagorean theorem
For right triangle: the square value the hypotenuse (c) is equal to the sum of the square value of leg (a) and the square value of leg (b):
Hypotenuse (c) calculation
Leg (a) calculation
Leg (b) calculation
Pythagorean theorem Example
| Side A | Side B | Hypotenuse (Side C) |
|---|---|---|
| 3 | 4 | 5 |
| 5 | 12 | 13 |
| 7 | 24 | 25 |
| 8 | 15 | 17 |
| 9 | 40 | 41 |
In this example, you can input the lengths of Side A and Side B of a right-angled triangle, and the calculator will automatically calculate the length of the hypotenuse (Side C) using the Pythagorean theorem.
The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (Side C) is equal to the sum of the squares of the other two sides (Side A and Side B). Mathematically, it can be written as C² = A² + B².
This table provides a clear visualization of how the Pythagorean theorem calculator works by showing different examples with varying side lengths.
