Pythagorean Theorem Calculator – Solve Right Triangle Sides and Hypotenuse

This free Pythagorean theorem calculator helps you find the hypotenuse or a missing side of a right triangle. Simply enter any two known values and get instant results using the classical formula: \[ H^2=S_1^2+S_2^2 \] This tool is ideal for students, teachers, and anyone learning geometry.

What Is the Pythagorean Theorem?

In any right triangle, the square of the hypotenuse is equal to the sum of the squares of the two legs. If \(S_1\) and \(S_2\) represent the sides of the triangle and \(H\) represents the hypotenuse, then:

Pythagorean Theorem Formulas

From the main formula above, we can solve for any missing value:

• Hypotenuse: \[H=\sqrt{S_1^2+S_2^2}\]
• Side \(S_1\): \[S_1=\sqrt{H^2-S_2^2}\]
• Side \(S_2\): \[S_2=\sqrt{H^2-S_1^2}\]

Calculate the Hypotenuse Given Two Sides

Enter the lengths of sides \(S_1\) and \(S_2\) as positive real numbers, then press “Enter” to compute the hypotenuse.

Calculate a Missing Side Given the Hypotenuse

Enter one side and the hypotenuse of the right triangle, then press “Enter” to find the remaining side.

Why Use This Calculator?

• Instant solutions for right triangles
• Step-by-step formulas
• Ideal for homework and practice
• Supports learning geometry fundamentals

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