Pythagorean Theorem Solver

Solve for the missing side (hypotenuse or leg) and area of a right-angled triangle.

Inputs

Solve For

Side a (or leg)

01,00,00,000

Side b (or hypotenuse c)

01,00,00,000

Calculation Results

Calculated Side Length

Triangle Area

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Formula & Mathematical Explanation

\displaystyle c = \sqrt{a^2 + b^2} \quad \text{or} \quad a = \sqrt{c^2 - b^2}

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (c) equals the sum of the squares of the legs (a and b). The area of a right triangle is half the product of its legs.