Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Right scalene triangle.

Sides: a = 90   b = 155.8854572681   c = 180

Area: T = 7014.806577065
Perimeter: p = 425.8854572681
Semiperimeter: s = 212.9422286341

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

Height: ha = 155.8854572681
Height: hb = 90
Height: hc = 77.94222863406

Median: ma = 162.2549807396
Median: mb = 119.0598808998
Median: mc = 90

Inradius: r = 32.94222863406
Circumradius: R = 90

Vertex coordinates: A[180; 0] B[0; 0] C[45; 77.94222863406]
Centroid: CG[75; 25.98107621135]
Coordinates of the circumscribed circle: U[90; -0]
Coordinates of the inscribed circle: I[57.05877136594; 32.94222863406]

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