Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Right scalene triangle.

Sides: a = 312   b = 54.17882314321   c = 307.266001894

Area: T = 8323.402220797
Perimeter: p = 673.4388250372
Semiperimeter: s = 336.7199125186

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 10° = 0.17545329252 rad
Angle ∠ C = γ = 80° = 1.39662634016 rad

Height: ha = 53.35551423588
Height: hb = 307.266001894
Height: hc = 54.17882314321

Median: ma = 156
Median: mb = 308.4521842966
Median: mc = 162.9033224556

Inradius: r = 24.71991251859
Circumradius: R = 156

Vertex coordinates: A[307.266001894; 0] B[0; 0] C[307.266001894; 54.17882314321]
Centroid: CG[204.8440012626; 18.05994104774]
Coordinates of the circumscribed circle: U[153.633000947; 27.0899115716]
Coordinates of the inscribed circle: I[282.5410893754; 24.71991251859]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 170° = 0.17545329252 rad
∠ C' = γ' = 100° = 1.39662634016 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     