Right Triangle Calculator
Solve any right triangle from two known values — find all sides, angles, area, and trigonometric functions.
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Right Triangle Formulas
Pythagorean Theorem: a² + b² = c². sin(A) = opposite/hypotenuse = a/c. cos(A) = adjacent/hypotenuse = b/c. tan(A) = opposite/adjacent = a/b. Area = ½ × a × b. Angle A + Angle B = 90°.
What is the Right Triangle Calculator?
The Right Triangle Calculator is an all-in-one geometry and trigonometry solver. It takes any two known values of a right-angled triangle and automatically calculates the remaining sides, angles, area, and perimeter.
How It Works (Formula)
The tool utilizes a combination of the Pythagorean Theorem ($a^2 + b^2 = c^2$) to solve for missing side lengths, and basic trigonometric ratios (SOH-CAH-TOA) and Inverse Trig functions to calculate missing internal angles.
$$ a^2 + b^2 = c^2 \quad \text{and} \quad \sin(\theta) = \frac{\text{Opp}}{\text{Hyp}} $$
The fundamental math equations governing right triangles.
How to Use It
You only need two values to solve the triangle (at least one must be a side length). Enter two sides, or one side and one angle. The calculator will instantly draw and fill out the rest of the triangle properties.