Solve all angles and properties of a triangle given its three side lengths (SSS).
Side Lengths
Triangle Analysis
26.83u²
Area
Angle A48.2°
Angle B58.4°
Angle C73.4°
Perimeter24.0
The SSS Case
The SSS (Side-Side-Side) case involves knowing the lengths of all three sides. We can find the area using Heron's formula and calculate all three angles using the Law of Cosines.
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Pro Tips
The Triangle Inequality Theorem requires a + b > c, a + c > b, and b + c > a.
The largest angle is always opposite the longest side.
The sum of the calculated angles should always be 180°.
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Fun Facts
"The Law of Cosines is often called the 'generalized Pythagorean theorem'."
"Triangles are the only polygons that are inherently 'rigid'—their shape is fixed entirely by their side lengths."
"The area of a triangle can also be calculated using the sine of any of its angles: Area = 0.5 * b * c * sin(A)."
