Triangle calculator SSA

Please enter two sides and a non-included angle
°

Obtuse scalene triangle.

Sides: a = 100   b = 125   c = 48.2288427765

Area: T = 2265.995488415
Perimeter: p = 273.2288427765
Semiperimeter: s = 136.6144213882

Angle ∠ A = α = 48.74325524574° = 48°44'33″ = 0.85107180262 rad
Angle ∠ B = β = 110° = 1.92198621772 rad
Angle ∠ C = γ = 21.25774475426° = 21°15'27″ = 0.37110124502 rad

Height: ha = 45.32198976829
Height: hb = 36.25659181463
Height: hc = 93.96992620786

Median: ma = 80.47704332183
Median: mb = 47.5055164165
Median: mc = 110.5943872745

Inradius: r = 16.58768164062
Circumradius: R = 66.51111107797

Vertex coordinates: A[48.2288427765; 0] B[0; 0] C[-34.20220143326; 93.96992620786]
Centroid: CG[4.67554711442; 31.32330873595]
Coordinates of the circumscribed circle: U[24.11442138825; 61.98657446998]
Coordinates of the inscribed circle: I[11.61442138825; 16.58768164062]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131.2577447543° = 131°15'27″ = 0.85107180262 rad
∠ B' = β' = 70° = 1.92198621772 rad
∠ C' = γ' = 158.7432552457° = 158°44'33″ = 0.37110124502 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     