Triangle calculator SAS

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

Acute scalene triangle.

Sides: a = 50   b = 65   c = 46.13989848424

Area: T = 1149.049851943
Perimeter: p = 161.1398984842
Semiperimeter: s = 80.56994924212

Angle ∠ A = α = 50.02109196315° = 50°1'15″ = 0.87330297424 rad
Angle ∠ B = β = 84.97990803685° = 84°58'45″ = 1.48331647477 rad
Angle ∠ C = γ = 45° = 0.78553981634 rad

Height: ha = 45.96219407771
Height: hb = 35.35553390593
Height: hc = 49.80881404848

Median: ma = 50.51663633009
Median: mb = 35.47704519445
Median: mc = 53.20105499918

Inradius: r = 14.26215831985
Circumradius: R = 32.62551890591

Vertex coordinates: A[46.13989848424; 0] B[0; 0] C[4.37659732; 49.80881404848]
Centroid: CG[16.83883193475; 16.60327134949]
Coordinates of the circumscribed circle: U[23.06994924212; 23.06994924212]
Coordinates of the inscribed circle: I[15.56994924212; 14.26215831985]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 129.9799080369° = 129°58'45″ = 0.87330297424 rad
∠ B' = β' = 95.02109196315° = 95°1'15″ = 1.48331647477 rad
∠ C' = γ' = 135° = 0.78553981634 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     