Pythagorean Calculator
Quickly find the length of the missing side in a right-angled triangle. Enter the two shorter sides (legs) to calculate the hypotenuse.
Hypotenuse Length
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Understanding the Theorem
The Pythagorean Theorem is a fundamental principle in geometry. It states that for any right-angled triangle (a triangle with one 90° angle), the square of the longest side (the hypotenuse) is equal to the sum of the squares of the other two sides. To use this calculator, simply enter the lengths of Side A and Side B. The tool will apply the formula and calculate the square root to give you the exact length of Side C.
Frequently Asked Questions
What is the formula? +
The theorem uses the formula: $$a^2 + b^2 = c^2$$ Where a and b are the sides meeting at the right angle, and c is the diagonal hypotenuse.
What is a "Hypotenuse"? +
The hypotenuse is the longest side of a right-angled triangle. It is always the side directly opposite the 90-degree angle.
Does this work for any triangle? +
No, this theorem only applies to right-angled triangles. For triangles without a 90° angle, you would need to use the Law of Cosines or the Law of Sines.
What are Pythagorean Triples? +
These are sets of three whole numbers that perfectly fit the formula without decimals. The most famous example is 3, 4, 5 because $3^2 (9) + 4^2 (16) = 5^2 (25)$.
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