Calculator Uni

Pythagorean Theorem Calculator

Solve for any side of a right triangle.

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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