Triangle calculator SAS

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

Acute scalene triangle.

Sides: a = 11.4   b = 13.7   c = 16.11438194112

Area: T = 76.73222332821
Perimeter: p = 41.21438194112
Semiperimeter: s = 20.60769097056

Angle ∠ A = α = 44.04404788703° = 44°2'26″ = 0.76986513604 rad
Angle ∠ B = β = 56.66595211297° = 56°39'34″ = 0.98988951963 rad
Angle ∠ C = γ = 79.3° = 79°18' = 1.38440460968 rad

Height: ha = 13.46217953126
Height: hb = 11.20217858806
Height: hc = 9.52437797227

Median: ma = 13.82768791855
Median: mb = 12.16108012898
Median: mc = 9.69107794318

Inradius: r = 3.72436167081
Circumradius: R = 8.19994756571

Vertex coordinates: A[16.11438194112; 0] B[0; 0] C[6.26655901393; 9.52437797227]
Centroid: CG[7.46598031835; 3.17545932409]
Coordinates of the circumscribed circle: U[8.05769097056; 1.52223688932]
Coordinates of the inscribed circle: I[6.90769097056; 3.72436167081]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.965952113° = 135°57'34″ = 0.76986513604 rad
∠ B' = β' = 123.344047887° = 123°20'26″ = 0.98988951963 rad
∠ C' = γ' = 100.7° = 100°42' = 1.38440460968 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     