Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Right scalene triangle.

Sides: a = 256   b = 221.7032503369   c = 128

Area: T = 14188.96602156
Perimeter: p = 605.7032503369
Semiperimeter: s = 302.8511251684

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 60° = 1.04771975512 rad
Angle ∠ C = γ = 30° = 0.52435987756 rad

Height: ha = 110.8511251684
Height: hb = 128
Height: hc = 221.7032503369

Median: ma = 128
Median: mb = 169.3288083908
Median: mc = 230.755528163

Inradius: r = 46.85112516844
Circumradius: R = 128

Vertex coordinates: A[128; 0] B[0; 0] C[128; 221.7032503369]
Centroid: CG[85.33333333333; 73.90108344563]
Coordinates of the circumscribed circle: U[64; 110.8511251684]
Coordinates of the inscribed circle: I[81.14987483156; 46.85112516844]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 120° = 1.04771975512 rad
∠ C' = γ' = 150° = 0.52435987756 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     