Triangle calculator

Please enter what you know about the triangle:
You have entered side b, angle α and angle β.

Right scalene triangle.

Sides: a = 890.9433320909   b = 170   c = 874.5744182715

Area: T = 74338.80655308
Perimeter: p = 1935.518750362
Semiperimeter: s = 967.7598751812

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 11° = 0.19219862177 rad
Angle ∠ C = γ = 79° = 1.37988101091 rad

Height: ha = 166.8776621186
Height: hb = 874.5744182715
Height: hc = 170

Median: ma = 445.4721660454
Median: mb = 878.6955055791
Median: mc = 469.1699479259

Inradius: r = 76.81554309032
Circumradius: R = 445.4721660454

Vertex coordinates: A[874.5744182715; 0] B[0; 0] C[874.5744182715; 170]
Centroid: CG[583.0499455143; 56.66766666667]
Coordinates of the circumscribed circle: U[437.2877091358; 85]
Coordinates of the inscribed circle: I[797.7598751812; 76.81554309032]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 169° = 0.19219862177 rad
∠ C' = γ' = 101° = 1.37988101091 rad

How did we calculate this triangle?

1. Input data entered: side b, angle α and angle β. 2. From angle α and angle β we calculate angle γ: 3. From angle α, angle β and side b we calculate side a - By using the law of sines, we calculate unknown side a: 4. Calculation of the third side c of the triangle using a Law of Cosines 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. 5. The triangle circumference is the sum of the lengths of its three sides 6. Semiperimeter of the triangle 7. The triangle area using Heron's formula 8. Calculate the heights of the triangle from its area. 9. Calculation of the inner angles of the triangle using a Law of Cosines     