Triangle calculator SAS

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

Obtuse scalene triangle.

Sides: a = 65   b = 80   c = 128.8032930627

Area: T = 2129.795531515
Perimeter: p = 273.8032930627
Semiperimeter: s = 136.9011465313

Angle ∠ A = α = 24.41774986753° = 24°25'3″ = 0.4266165747 rad
Angle ∠ B = β = 30.58325013247° = 30°34'57″ = 0.53437653416 rad
Angle ∠ C = γ = 125° = 2.1821661565 rad

Height: ha = 65.53221635431
Height: hb = 53.24548828788
Height: hc = 33.07106033595

Median: ma = 102.1710678127
Median: mb = 93.8498801106
Median: mc = 34.13113824139

Inradius: r = 15.55771403876
Circumradius: R = 78.62196723336

Vertex coordinates: A[128.8032930627; 0] B[0; 0] C[55.95883344412; 33.07106033595]
Centroid: CG[61.5877088356; 11.02435344532]
Coordinates of the circumscribed circle: U[64.40114653134; -45.09443914842]
Coordinates of the inscribed circle: I[56.90114653134; 15.55771403876]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.5832501325° = 155°34'57″ = 0.4266165747 rad
∠ B' = β' = 149.4177498675° = 149°25'3″ = 0.53437653416 rad
∠ C' = γ' = 55° = 2.1821661565 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     