Solve for missing sides and angles in a right-angled triangle.
Triangle Input
Triangle Solution
36.87°
Angle θ
Results based on SOH CAH TOA principles.
Hypotenuse (c)5.00
Other Angle (90-θ)53.13°
sin(θ)0.6000
cos(θ)0.8000
What is Trigonometry?
Trigonometry is the study of the relationships between the side lengths and angles of triangles. For a right triangle, these relationships are defined by the sine, cosine, and tangent functions, often remembered by the acronym SOH CAH TOA.
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Pro Tips
The Pythagorean theorem (a² + b² = c²) always holds for right triangles.
The sum of angles in any triangle is always 180 degrees.
In a right triangle, if you know one angle (other than the 90°) and one side, you can find all other measurements.
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Fun Facts
"The word trigonometry comes from the Greek 'trigonon' (triangle) and 'metron' (measure)."
"Ancient Egyptians used basic trigonometry to build the pyramids and survey land after Nile floods."
"Modern GPS and navigation systems rely heavily on spherical trigonometry."
