Triangle calculator SAS

Please enter two sides of the triangle and the included angle
°

Acute scalene triangle.

Sides: a = 218.5   b = 213.3   c = 212.5465504729

Area: T = 19966.20772321
Perimeter: p = 644.3465504729
Semiperimeter: s = 322.1732752365

Angle ∠ A = α = 61.74403640349° = 61°44'25″ = 1.07875726338 rad
Angle ∠ B = β = 59.32996359651° = 59°17'59″ = 1.03549738928 rad
Angle ∠ C = γ = 58.96° = 58°57'36″ = 1.0299046127 rad

Height: ha = 182.7577045602
Height: hb = 187.2122444745
Height: hc = 187.8777012572

Median: ma = 182.7598524535
Median: mb = 187.3099098258
Median: mc = 187.9511249277

Vertex coordinates: A[212.5465504729; 0] B[0; 0] C[111.5554821263; 187.8777012572]
Centroid: CG[108.0333441997; 62.62656708574]
Coordinates of the circumscribed circle: U[106.2732752365; 63.95661324739]
Coordinates of the inscribed circle: I[108.8732752365; 61.97436060406]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 118.2659635965° = 118°15'35″ = 1.07875726338 rad
∠ B' = β' = 120.7700364035° = 120°42'1″ = 1.03549738928 rad
∠ C' = γ' = 121.04° = 121°2'24″ = 1.0299046127 rad

How did we calculate this triangle?

1. Calculation of the third side c of the triangle using a Law of Cosines Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. 2. The triangle circumference is the sum of the lengths of its three sides 3. Semiperimeter of the triangle 4. The triangle area using Heron's formula 5. Calculate the heights of the triangle from its area. 6. Calculation of the inner angles of the triangle using a Law of Cosines    