Triangle calculator

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

Right scalene triangle.

Sides: a = 70.35878624556   b = 39   c = 80.44439482455

Area: T = 1371.978831788
Perimeter: p = 189.8021810701
Semiperimeter: s = 94.90109053505

Angle ∠ A = α = 61° = 1.06546508437 rad
Angle ∠ B = β = 29° = 0.50661454831 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 39
Height: hb = 70.35878624556
Height: hc = 34.11101685784

Median: ma = 52.52219687591
Median: mb = 73.01101281284
Median: mc = 40.22219741227

Inradius: r = 14.45769571051
Circumradius: R = 40.22219741227

Vertex coordinates: A[80.44439482455; 0] B[0; 0] C[61.53663730559; 34.11101685784]
Centroid: CG[47.32767737671; 11.37700561928]
Coordinates of the circumscribed circle: U[40.22219741227; 0]
Coordinates of the inscribed circle: I[55.90109053505; 14.45769571051]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 119° = 1.06546508437 rad
∠ B' = β' = 151° = 0.50661454831 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. Input data entered: side b, angle α and angle γ. 2. From angle α and angle γ we calculate angle β: 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     