Triangle calculator SAS

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

Acute scalene triangle.

Sides: a = 50   b = 70   c = 62.4549979984

Area: T = 1515.544445662
Perimeter: p = 182.4549979984
Semiperimeter: s = 91.2254989992

Angle ∠ A = α = 43.8987886248° = 43°53'52″ = 0.76661626497 rad
Angle ∠ B = β = 76.1022113752° = 76°6'8″ = 1.32882324527 rad
Angle ∠ C = γ = 60° = 1.04771975512 rad

Height: ha = 60.62217782649
Height: hb = 43.30112701892
Height: hc = 48.53662671697

Median: ma = 61.44110286372
Median: mb = 44.44109720866
Median: mc = 52.20215325446

Inradius: r = 16.61332597741
Circumradius: R = 36.05655127546

Vertex coordinates: A[62.4549979984; 0] B[0; 0] C[12.01096115354; 48.53662671697]
Centroid: CG[24.82198638398; 16.17987557232]
Coordinates of the circumscribed circle: U[31.2254989992; 18.02877563773]
Coordinates of the inscribed circle: I[21.2254989992; 16.61332597741]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.1022113752° = 136°6'8″ = 0.76661626497 rad
∠ B' = β' = 103.8987886248° = 103°53'52″ = 1.32882324527 rad
∠ C' = γ' = 120° = 1.04771975512 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     