Pythagorean Theorem Calculator
Solve for any side of a right triangle.
Hypotenuse
5
c = √(a² + b²)
Area
6
Perimeter
12
a² + b² = c²
In any right triangle the squares of the legs sum to the square of the hypotenuse — 3-4-5 being the famous integer case. It's the basis of distance itself: the straight-line distance between two points is just the theorem applied to their coordinate differences.
Builders' 3-4-5
Carpenters check corners for square by marking 3 units along one edge, 4 along the other — the diagonal must measure exactly 5. Any multiple works (6-8-10), and the check needs nothing but a tape measure.
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