Triangle calculator SSA - result

Please enter two sides and a non-included angle
°

Obtuse scalene triangle.

Sides: a = 271   b = 356   c = 163.7298733968

Area: T = 21173.91100927
Perimeter: p = 790.7298733968
Semiperimeter: s = 395.3644366984

Angle ∠ A = α = 46.59766386677° = 46°35'48″ = 0.81332647651 rad
Angle ∠ B = β = 107.3676666667° = 107°22' = 1.87439018402 rad
Angle ∠ C = γ = 26.03766946656° = 26°2'12″ = 0.45444260483 rad

Height: ha = 156.2655019135
Height: hb = 118.9554551083
Height: hc = 258.6466232455

Median: ma = 241.6844296477
Median: mb = 135.7944142596
Median: mc = 305.5922417148

Vertex coordinates: A[163.7298733968; 0] B[0; 0] C[-80.89895941205; 258.6466232455]
Centroid: CG[27.61330466159; 86.21554108182]
Coordinates of the circumscribed circle: U[81.86443669842; 167.5744354387]
Coordinates of the inscribed circle: I[39.36443669842; 53.5555433572]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.4033361332° = 133°24'12″ = 0.81332647651 rad
∠ B' = β' = 72.63333333333° = 72°38' = 1.87439018402 rad
∠ C' = γ' = 153.9633305334° = 153°57'48″ = 0.45444260483 rad

How did we calculate this triangle?

1. Use 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    