Triangle calculator

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

Obtuse scalene triangle.

Sides: a = 7.28   b = 100.3220225075   c = 98.06992100982

Area: T = 343.1433437795
Perimeter: p = 205.6699435173
Semiperimeter: s = 102.8354717587

Angle ∠ A = α = 4° = 0.07698131701 rad
Angle ∠ B = β = 106° = 1.85500490071 rad
Angle ∠ C = γ = 70° = 1.22217304764 rad

Height: ha = 94.27701752183
Height: hb = 6.84109622793
Height: hc = 6.99879851464

Median: ma = 99.13442986265
Median: mb = 48.15985640866
Median: mc = 51.51987391849

Inradius: r = 3.33768442667
Circumradius: R = 52.18215367754

Vertex coordinates: A[98.06992100982; 0] B[0; 0] C[-2.00766399503; 6.99879851464]
Centroid: CG[32.02108567159; 2.33326617155]
Coordinates of the circumscribed circle: U[49.03546050491; 17.84771366869]
Coordinates of the inscribed circle: I[2.51444925117; 3.33768442667]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 176° = 0.07698131701 rad
∠ B' = β' = 74° = 1.85500490071 rad
∠ C' = γ' = 110° = 1.22217304764 rad

How did we calculate this triangle?

1. Input data entered: side a, angle β and angle γ. 2. From angle β and angle γ we calculate angle α: 3. From angle β, angle α and side a we calculate side b - By using the law of sines, we calculate unknown side b: 4. From angle γ, angle α and side a we calculate side c - By using the law of sines, we calculate 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. 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     