Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Acute scalene triangle.

Sides: a = 43   b = 28.81221020579   c = 33.46331364081

Area: T = 481.4110988242
Perimeter: p = 105.2755238466
Semiperimeter: s = 52.6387619233

Angle ∠ A = α = 87° = 1.51884364492 rad
Angle ∠ B = β = 42° = 0.73330382858 rad
Angle ∠ C = γ = 51° = 0.89901179185 rad

Height: ha = 22.39112087554
Height: hb = 33.41772763426
Height: hc = 28.77326160734

Median: ma = 22.64330863981
Median: mb = 35.7333128087
Median: mc = 32.55218546005

Inradius: r = 9.14657591596
Circumradius: R = 21.5329505439

Vertex coordinates: A[33.46331364081; 0] B[0; 0] C[31.95552274955; 28.77326160734]
Centroid: CG[21.80661213012; 9.59108720245]
Coordinates of the circumscribed circle: U[16.73215682041; 13.5498956782]
Coordinates of the inscribed circle: I[23.82655171751; 9.14657591596]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 93° = 1.51884364492 rad
∠ B' = β' = 138° = 0.73330382858 rad
∠ C' = γ' = 129° = 0.89901179185 rad

How did we calculate this triangle?

1. Calculate the third unknown inner angle 2. By using the law of sines, we calculate unknown side b 3. By using the law of sines, we calculate last unknown side c 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. 4. The triangle circumference is the sum of the lengths of its three sides 5. Semiperimeter of the triangle 6. The triangle area using Heron's formula 7. Calculate the heights of the triangle from its area. 8. Calculation of the inner angles of the triangle using a Law of Cosines     