Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Right scalene triangle.

Sides: a = 3061.467   b = 2828.427670076   c = 1171.573269963

Area: T = 1656853.753276
Perimeter: p = 7061.466640039
Semiperimeter: s = 3530.73332002

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 67.5° = 67°30' = 1.17880972451 rad
Angle ∠ C = γ = 22.5° = 22°30' = 0.39326990817 rad

Height: ha = 1082.392203804
Height: hb = 1171.573269963
Height: hc = 2828.427670076

Median: ma = 1530.73435
Median: mb = 1836.459909046
Median: mc = 2888.454997346

Inradius: r = 469.2666200196
Circumradius: R = 1530.73435

Vertex coordinates: A[1171.573269963; 0] B[0; 0] C[1171.573269963; 2828.427670076]
Centroid: CG[781.0488466422; 942.8098900253]
Coordinates of the circumscribed circle: U[585.7866349816; 1414.213335038]
Coordinates of the inscribed circle: I[702.3066499437; 469.2666200196]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 112.5° = 112°30' = 1.17880972451 rad
∠ C' = γ' = 157.5° = 157°30' = 0.39326990817 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     