Pythagorean Theorem Calculator
Calculate the unknown side of a right triangle using the Pythagorean Theorem. Input two known sides (a, b, or c) to find the missing length. Visualize the triangle and copy results easily.
Enter the known sides to calculate the missing side of the right triangle.
The Pythagorean theorem is expressed as: a2 + b2 = c2
Results:
Side a:
Side b:
Hypotenuse c:
Triangle Visualization
Understanding the Pythagorean Theorem
The Pythagorean Theorem is a fundamental concept in geometry that describes the relationship between the three sides of a right triangle. A right triangle is a triangle with one angle that is 90 degrees, also known as a right angle. The side opposite the right angle is called the hypotenuse (c), and the other two sides are called legs (a and b).
Formula: The theorem is mathematically expressed as: \( a^2 + b^2 = c^2 \) Where:
- a and b are the lengths of the two legs of the right triangle.
- c is the length of the hypotenuse.
Use Cases: The Pythagorean theorem is widely used in various fields, including:
- Construction and architecture to ensure right angles in buildings.
- Navigation and surveying to calculate distances.
- Computer graphics and game development for distance calculations.
- And many more areas of mathematics and physics.
For further reading and more in-depth explanations, you can refer to resources like: Wikipedia - Pythagorean Theorem.