Triangle calculator - result

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

Right scalene triangle.

Sides: a = 68.96437585983   b = 34   c = 60

Area: T = 1020
Perimeter: p = 162.9643758598
Semiperimeter: s = 81.48218792991

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 29.53987822596° = 29°32'20″ = 0.51655490075 rad
Angle ∠ C = γ = 60.46112177404° = 60°27'40″ = 1.05552473193 rad

Height: ha = 29.58107543189
Height: hb = 60
Height: hc = 34

Median: ma = 34.48218792991
Median: mb = 62.36218473107
Median: mc = 45.3433136195

Inradius: r = 12.51881207009
Circumradius: R = 34.48218792991

Vertex coordinates: A[60; 0] B[0; 0] C[60; 34]
Centroid: CG[40; 11.33333333333]
Coordinates of the circumscribed circle: U[30; 17]
Coordinates of the inscribed circle: I[47.48218792991; 12.51881207009]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 150.461121774° = 150°27'40″ = 0.51655490075 rad
∠ C' = γ' = 119.539878226° = 119°32'20″ = 1.05552473193 rad

How did we calculate this triangle?

1. Input data entered: side b, c and angle α. 2. Calculation of the third side a 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. 3. The triangle circumference is the sum of the lengths of its three sides 4. Semiperimeter of the triangle 5. The triangle area using Heron's formula 6. Calculate the heights of the triangle from its area. 7. Calculation of the inner angles of the triangle using a Law of Cosines     