Triangle calculator SAS

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

Obtuse scalene triangle.

Sides: a = 500   b = 1200   c = 848.045457828

Area: T = 176335.5765688
Perimeter: p = 2548.045457828
Semiperimeter: s = 1274.022228914

Angle ∠ A = α = 20.2776642331° = 20°16'36″ = 0.35438941699 rad
Angle ∠ B = β = 123.7233357669° = 123°43'24″ = 2.15993799529 rad
Angle ∠ C = γ = 36° = 0.62883185307 rad

Height: ha = 705.3422302751
Height: hb = 293.8932626146
Height: hc = 415.8643930279

Median: ma = 1008.509870268
Median: mb = 352.9732808266
Median: mc = 815.6011065664

Inradius: r = 138.4098548415
Circumradius: R = 721.3989806032

Vertex coordinates: A[848.045457828; 0] B[0; 0] C[-277.5921771299; 415.8643930279]
Centroid: CG[190.151093566; 138.6211310093]
Coordinates of the circumscribed circle: U[424.022228914; 583.6176612649]
Coordinates of the inscribed circle: I[74.022228914; 138.4098548415]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.7233357669° = 159°43'24″ = 0.35438941699 rad
∠ B' = β' = 56.2776642331° = 56°16'36″ = 2.15993799529 rad
∠ C' = γ' = 144° = 0.62883185307 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     