Right Triangle Calculator
Solve a right triangle from one side and one acute angle.
Hypotenuse
12.2077
Opposite leg
7.0021
Adjacent leg
10
Angles
35°, 55°, 90°
Area
35.0104
SOH-CAH-TOA at work
One side plus one acute angle determines a right triangle completely: sine links opposite to hypotenuse, cosine links adjacent, tangent links the legs. The calculator applies whichever ratio matches your known side, then fills in the rest.
Trig in the field
This is how heights get measured without climbing: stand 30 m from a tree, sight the top at 35°, and the height is 30·tan(35°) ≈ 21 m plus eye height. Ramps, roofs, and surveying all reduce to the same triangle.
Frequently asked questions
- How does the Right Triangle Calculator work?
- Solve a right triangle from one side and one acute angle.
- Is the Right Triangle Calculator free to use?
- Yes. The Right Triangle Calculator is completely free, runs entirely in your browser, and requires no account or sign-up. Your inputs never leave your device.
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