Right Triangle Calculator

Reviewed by CalcMulti Editorial Team·Last updated: ·Geometry Hub

A right triangle has one 90° angle. The side opposite the right angle is the hypotenuse (always the longest side). The other two sides are called legs. The Pythagorean theorem states that a² + b² = c², where c is the hypotenuse.

Given any two pieces of information (two sides, one side and one acute angle, or the hypotenuse and area), you can find all remaining sides and angles. The acute angles of a right triangle always sum to 90°.

Enter any two known values below — the calculator finds all missing sides, angles, area, and perimeter using the Pythagorean theorem and trigonometric ratios (sin, cos, tan).

Formula

a² + b² = c²

a
one leg (shorter side)
b
other leg
c
hypotenuse (opposite the right angle, longest side)

Disclaimer

This calculator is for educational purposes only and does not constitute professional advice. Results are based on standard mathematical formulas. Always verify critical calculations with a qualified professional before making important decisions.

Frequently Asked Questions