Law of Tangents
Triangles and law of tangents. Calculate the angles or sides of a triangle using the Law of Tangents, Pythagorean theorem, Law of sines, and related formulas.
Law of Tangents
The Law of Tangents can be expressed as:
(a + b) / (a - b) = tan(1/2 (A + B)) / tan(1/2 (A - B))
Where:
- a, b, c = length of sides in triangle (m, ft, ...)
- A, B, C = angles in the triangle (degrees)
Related Formulas
Pythagorean Theorem
a² + b² = c²
Law of Sines
a / sin(A) = b / sin(B) = c / sin(C)
Calculate Angles from Sides
- A = arccos((b² + c² - a²) / (2bc))
- B = arccos((a² + c² - b²) / (2ac))
- C = arccos((a² + b² - c²) / (2ab))