Triangle from three sides

a, b, c → angles, area, perimeter (Heron's formula)

Sides

Existence check: the sum of any two sides > the third. Angles via the law of cosines: cos A = (b²+c²−a²)/2bc. Area via Heron: √(s(s−a)(s−b)(s−c)). The largest angle is opposite the largest side.

Solution

∠A
36.87°
∠B
53.13°
∠C
90°
Area
6
Perimeter
12

Right triangle ✓