Pythagorean Theorem Calculator
Calculate the missing side of a right-angled triangle.
Enter values for any two sides to calculate the third.
About this Tool
The Pythagorean Theorem Calculator finds the missing side of a right-angled triangle based on the lengths of the other two sides. The theorem, a² + b² = c², is a fundamental principle in geometry where 'a' and 'b' are the lengths of the two legs, and 'c' is the length of the hypotenuse (the side opposite the right angle).
Common Use Cases
Construction and Carpentry
Ensure corners are perfectly square (90 degrees) by measuring the sides and diagonal of a frame.
Navigation
Calculate the straight-line distance between two points on a grid by treating the horizontal and vertical distances as the triangle's legs.
Geometry Homework
Quickly solve for the missing side of a right triangle in academic problems.
Pro Tips
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Identify the Hypotenuse
The hypotenuse (side 'c') is always the longest side and is opposite the right angle. When solving for a leg ('a' or 'b'), make sure 'c' is the largest value.
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Units
Ensure all measurements are in the same unit (e.g., inches, centimeters). The result will be in that same unit.
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Real-World Application
When measuring a TV screen, the advertised size (e.g., 55 inches) is the diagonal (hypotenuse). You can use the theorem to find its actual height and width if you know the aspect ratio.