Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Obtuse scalene triangle.

Sides: a = 46   b = 35.58107608044   c = 19.78879619336

Area: T = 332.8565981776
Perimeter: p = 101.3698722738
Semiperimeter: s = 50.6844361369

Angle ∠ A = α = 109° = 1.90224088847 rad
Angle ∠ B = β = 47° = 0.82203047484 rad
Angle ∠ C = γ = 24° = 0.41988790205 rad

Height: ha = 14.47219992076
Height: hb = 18.71098855815
Height: hc = 33.64222702745

Median: ma = 17.314406909
Median: mb = 30.61550956864
Median: mc = 39.91437120591

Inradius: r = 6.5677232432
Circumradius: R = 24.32552756673

Vertex coordinates: A[19.78879619336; 0] B[0; 0] C[31.37219245629; 33.64222702745]
Centroid: CG[17.05332954988; 11.21440900915]
Coordinates of the circumscribed circle: U[9.89439809668; 22.22222450918]
Coordinates of the inscribed circle: I[15.10436005646; 6.5677232432]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 71° = 1.90224088847 rad
∠ B' = β' = 133° = 0.82203047484 rad
∠ C' = γ' = 156° = 0.41988790205 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     