Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Acute scalene triangle.

Sides: a = 1049   b = 1409.045472999   c = 1506.976563294

Area: T = 710414.651121
Perimeter: p = 3965.022036294
Semiperimeter: s = 1982.511018147

Angle ∠ A = α = 42° = 0.73330382858 rad
Angle ∠ B = β = 64° = 1.11770107213 rad
Angle ∠ C = γ = 74° = 1.29215436465 rad

Height: ha = 1354.461072681
Height: hb = 1008.364351904
Height: hc = 942.8354954568

Median: ma = 1361.283287094
Median: mb = 1090.567706184
Median: mc = 987.5021967588

Inradius: r = 358.3410985005
Circumradius: R = 783.8532950404

Vertex coordinates: A[1506.976563294; 0] B[0; 0] C[459.8511332982; 942.8354954568]
Centroid: CG[655.6098988642; 314.2788318189]
Coordinates of the circumscribed circle: U[753.4887816472; 216.0599154599]
Coordinates of the inscribed circle: I[573.4655451475; 358.3410985005]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138° = 0.73330382858 rad
∠ B' = β' = 116° = 1.11770107213 rad
∠ C' = γ' = 106° = 1.29215436465 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     