Triangle calculator AAS

Please enter two angles and one opposite side
°
°

Right scalene triangle.

Sides: a = 365   b = 142.6176861899   c = 335.984427151

Area: T = 23958.5111225
Perimeter: p = 843.6011133409
Semiperimeter: s = 421.8010566704

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 23° = 0.4011425728 rad
Angle ∠ C = γ = 67° = 1.16993705988 rad

Height: ha = 131.2879513562
Height: hb = 335.984427151
Height: hc = 142.6176861899

Median: ma = 182.5
Median: mb = 343.4688081525
Median: mc = 220.3655439607

Inradius: r = 56.80105667044
Circumradius: R = 182.5

Vertex coordinates: A[335.984427151; 0] B[0; 0] C[335.984427151; 142.6176861899]
Centroid: CG[223.998951434; 47.53989539662]
Coordinates of the circumscribed circle: U[167.9922135755; 71.30884309493]
Coordinates of the inscribed circle: I[279.1843704806; 56.80105667044]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 157° = 0.4011425728 rad
∠ C' = γ' = 113° = 1.16993705988 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     