Right Triangle Trigonometry Solver
Right Triangle Trigonometry Solver
Enter one non-right angle and the length of one side (specifying which side it is), and this calculator solves for the remaining two sides and the other angle.
SOH-CAH-TOA is the classic memory aid for the three basic ratios — Sine equals Opposite over Hypotenuse, Cosine equals Adjacent over Hypotenuse, Tangent equals Opposite over Adjacent — and together they're all that's needed to fully solve a right triangle. Knowing just one non-right angle and one side length is always sufficient information to solve the entire triangle, since the third angle is automatically 90° minus the known angle (all three angles in any triangle must sum to 180°), and from there the trig ratios pin down both remaining side lengths.
- SOH-CAH-TOA is the classic memory aid for the three basic ratios: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.
- Knowing just one angle (besides the 90° angle) and one side is always enough to solve the entire right triangle, since the third angle is automatically 90° minus the known angle.
- Which side is "opposite" or "adjacent" depends on which angle you're measuring from — this calculator assumes the side lengths are relative to your entered angle.
How do I solve a right triangle with one angle and one side?
Use the trigonometric ratio that connects your known side to the side you want: sine for the opposite side, cosine for the adjacent side, and their relationships for the rest.
If the hypotenuse is 10 and the angle is 30°, what are the other sides?
Opposite = 10 × sin(30°) = 5, and adjacent = 10 × cos(30°) ≈ 8.66.
Right Triangle Trigonometry Solver
Enter one non-right angle and the length of one side (specifying which side it is), and this calculator solves for the remaining two sides and the other angle.
SOH-CAH-TOA is the classic memory aid for the three basic ratios — Sine equals Opposite over Hypotenuse, Cosine equals Adjacent over Hypotenuse, Tangent equals Opposite over Adjacent — and together they're all that's needed to fully solve a right triangle. Knowing just one non-right angle and one side length is always sufficient information to solve the entire triangle, since the third angle is automatically 90° minus the known angle (all three angles in any triangle must sum to 180°), and from there the trig ratios pin down both remaining side lengths.
- SOH-CAH-TOA is the classic memory aid for the three basic ratios: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.
- Knowing just one angle (besides the 90° angle) and one side is always enough to solve the entire right triangle, since the third angle is automatically 90° minus the known angle.
- Which side is "opposite" or "adjacent" depends on which angle you're measuring from — this calculator assumes the side lengths are relative to your entered angle.
How do I solve a right triangle with one angle and one side?
Use the trigonometric ratio that connects your known side to the side you want: sine for the opposite side, cosine for the adjacent side, and their relationships for the rest.
If the hypotenuse is 10 and the angle is 30°, what are the other sides?
Opposite = 10 × sin(30°) = 5, and adjacent = 10 × cos(30°) ≈ 8.66.