Solve internal angles, side lengths, perimeter, area, altitudes, and radii. Supports SSS, SAS, and ASA configurations with a live visual model and step-by-step equations.
In Euclidean geometry, a triangle is a three-sided polygon defined by three line segments and three internal angles that sum to exactly 180 degrees. Computing the measurements of a triangle—often referred to as "solving" the triangle—relies on trigonometric laws relating the side lengths and angle ratios.
c² = a² + b² - 2ab · cos(C)
This is utilized during SSS (solve for angles) or SAS (solve for third side) configurations.
a / sin(A) = b / sin(B) = c / sin(C)
This is utilized during ASA or AAS scenarios to determine missing sides.
Area = √[ s(s - a)(s - b)(s - c) ]
where s is the semi-perimeter: s = (a + b + c) / 2.
Triangles are cataloged both by their matching sides and their internal angles:
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