Solve any right triangle. Enter any two values (at least one side) to find all sides, angles, area, altitude, and trigonometric ratios.
All right triangles have C = 90°. Enter any 2 other values. Side c is always the hypotenuse.
| Property | Value |
|---|
| Ratio | Angle A | Angle B |
|---|
Right triangles are fundamental to trigonometry. The three primary trig ratios (SOH-CAH-TOA) relate angles to side lengths.
| Ratio | Definition | Mnemonic |
|---|---|---|
| sin(θ) | Opposite / Hypotenuse | SOH |
| cos(θ) | Adjacent / Hypotenuse | CAH |
| tan(θ) | Opposite / Adjacent | TOA |
| cosec(θ) | Hypotenuse / Opposite | 1/sin |
| sec(θ) | Hypotenuse / Adjacent | 1/cos |
| cot(θ) | Adjacent / Opposite | 1/tan |
| Angle | sin | cos | tan |
|---|---|---|---|
| 30° | 1/2 | √3/2 | 1/√3 |
| 45° | 1/√2 | 1/√2 | 1 |
| 60° | √3/2 | 1/2 | √3 |