Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Acute scalene triangle.

Sides: a = 34   b = 23.79899482088   c = 32.22224317793

Area: T = 366.5377260352
Perimeter: p = 90.01223799881
Semiperimeter: s = 45.00661899941

Angle ∠ A = α = 73° = 1.2744090354 rad
Angle ∠ B = β = 42° = 0.73330382858 rad
Angle ∠ C = γ = 65° = 1.13444640138 rad

Height: ha = 21.56110153148
Height: hb = 30.81444647592
Height: hc = 22.75504406162

Median: ma = 22.65222266626
Median: mb = 30.91436239536
Median: mc = 24.52436526734

Inradius: r = 8.144415218
Circumradius: R = 17.77767598603

Vertex coordinates: A[32.22224317793; 0] B[0; 0] C[25.26769240662; 22.75504406162]
Centroid: CG[19.16331186152; 7.58334802054]
Coordinates of the circumscribed circle: U[16.11112158897; 7.51327833515]
Coordinates of the inscribed circle: I[21.21662417852; 8.144415218]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 107° = 1.2744090354 rad
∠ B' = β' = 138° = 0.73330382858 rad
∠ C' = γ' = 115° = 1.13444640138 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     