The Pythagorean theorem says a² + b² = c² for right triangles. If the legs are 3 and 4, the hypotenuse is 5 — because 9 + 16 = 25 and √25 = 5.
The Pythagorean theorem says a² + b² = c² for right triangles. If the legs are 3 and 4, the hypotenuse is 5 — because 9 + 16 = 25 and √25 = 5. Our pythagorean theorem calculator is built on the same core hypotenuse calculator calculate hypotenuse right triangle theorem and is trusted by students, professionals and everyday users who need a fast, accurate result. Because every calculation runs locally in your browser, there is no waiting, no sign-up and no limit on how often you use it.
The Pythagorean Theorem: a² + b² = c²
States that in any right triangle, the square of the hypotenuse (c) equals the sum of the squares of the two adjacent legs (a and b).
Solving for Hypotenuse vs. Missing Leg
To find hypotenuse: c = √(a² + b²). To find a missing leg: a = √(c² − b²).
Practical Construction & Navigation Uses
Carpenters and builders use 3-4-5 right triangle ratios to ensure walls and foundation footings are perfectly square.
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