Triangle calculator SAS

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

Obtuse scalene triangle.

Sides: a = 13.1   b = 4.5   c = 9.88443752137

Area: T = 17.73884978074
Perimeter: p = 27.48443752137
Semiperimeter: s = 13.74221876069

Angle ∠ A = α = 127.0988481784° = 127°5'55″ = 2.21882869814 rad
Angle ∠ B = β = 15.90215182158° = 15°54'5″ = 0.27875338489 rad
Angle ∠ C = γ = 37° = 0.64657718232 rad

Height: ha = 2.70881676042
Height: hb = 7.88437768033
Height: hc = 3.58991996052

Median: ma = 4.00991067188
Median: mb = 11.38438893478
Median: mc = 8.45660500033

Inradius: r = 1.29108059703
Circumradius: R = 8.21221373125

Vertex coordinates: A[9.88443752137; 0] B[0; 0] C[12.59987160534; 3.58991996052]
Centroid: CG[7.49443637557; 1.19663998684]
Coordinates of the circumscribed circle: U[4.94221876069; 6.55985044712]
Coordinates of the inscribed circle: I[9.24221876069; 1.29108059703]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 52.90215182158° = 52°54'5″ = 2.21882869814 rad
∠ B' = β' = 164.0988481784° = 164°5'55″ = 0.27875338489 rad
∠ C' = γ' = 143° = 0.64657718232 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     