Right Triangle Solver
Enter any 2 known values to solve the entire right triangle.
Complete Solution
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Request a ToolHow to Use the Right Triangle Solver
This is the most comprehensive right triangle calculator. Enter any two known measurements and it solves for everything else.
- Enter 2 known values. You can enter any combination: two sides, two angles, or one side and one angle. Leave the rest empty. Remember that angle C is always 90 degrees in a right triangle.
- Read the complete solution. The calculator finds all three sides (legs a, b and hypotenuse c), both acute angles (A and B), the area, and the perimeter. Results update instantly.
- Share or copy. Use the buttons to share a pre-filled link or copy the results.
The calculator uses the Pythagorean theorem for side calculations and standard trig functions (sin, cos, tan) for angle-based solutions. All computations run locally in your browser.
About Right Triangles
A right triangle has one 90-degree angle. The side opposite the right angle is called the hypotenuse and is always the longest side. The other two sides are called legs. The two acute angles always sum to 90 degrees. Right triangles are fundamental in geometry and trigonometry. The Pythagorean theorem (a^2 + b^2 = c^2) connects the three sides, while the SOH-CAH-TOA ratios (sin = opposite/hypotenuse, cos = adjacent/hypotenuse, tan = opposite/adjacent) connect sides to angles. Any two known values (with at least one side) are enough to determine the entire triangle.
Frequently Asked Questions
What is the minimum information needed to solve a right triangle?
You need exactly two known values, and at least one must be a side length. Two angles alone (plus the known 90-degree angle) do not determine side lengths. Valid combinations include: two sides, one side and one angle, or the hypotenuse and one angle.
What is SOH-CAH-TOA?
SOH-CAH-TOA is a mnemonic for the three basic trig ratios in a right triangle. SOH: Sine = Opposite / Hypotenuse. CAH: Cosine = Adjacent / Hypotenuse. TOA: Tangent = Opposite / Adjacent. These ratios allow you to find unknown sides when you know an angle, or unknown angles when you know two sides.
What is the difference between this and the hypotenuse calculator?
The hypotenuse calculator specifically takes two legs and finds the hypotenuse. This right triangle solver is more general: it accepts any combination of two known values (including angles) and solves for all unknowns. If you only need the hypotenuse from two legs, either tool works.