Pythagorean Theorem Calculator
Solve any missing side of a right triangle ($a^2 + b^2 = c^2$) with our interactive scaling SVG right triangle graph.
Select & Enter Sides
Proportional Triangle
Step-by-Step Derivation:
What is the Pythagorean Theorem Calculator?
The Pythagorean Theorem Calculator is a fundamental geometry tool that finds the exact length of any missing side on a right-angled triangle. It is heavily utilized in construction, engineering, and basic navigation.
How It Works (Formula)
The legendary theorem states that the square of the Hypotenuse (the longest side) is equal to the sum of the squares of the other two "leg" sides. By algebraically isolating the missing variable and taking the square root, the tool solves the triangle.
$$ a^2 + b^2 = c^2 \implies c = \sqrt{a^2 + b^2} $$
The foundational theorem of Euclidean geometry.
How to Use It
Input the lengths of the two known sides of your right triangle. Leave the third side completely blank. The calculator will immediately apply the theorem and output the dimension of the missing side.