Triangle calculator

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

Obtuse scalene triangle.

Sides: a = 37   b = 34   c = 3.09768396657

Area: T = 13.62658584471
Perimeter: p = 74.09768396657
Semiperimeter: s = 37.04884198329

Angle ∠ A = α = 165° = 2.88797932658 rad
Angle ∠ B = β = 13.75987197856° = 13°45'31″ = 0.24401349611 rad
Angle ∠ C = γ = 1.24112802144° = 1°14'29″ = 0.02216644267 rad

Height: ha = 0.7376532889
Height: hb = 0.80215210851
Height: hc = 8.87998475335

Median: ma = 15.51095199138
Median: mb = 20.00773788378
Median: mc = 35.49879210098

Inradius: r = 0.36877851446
Circumradius: R = 71.47985111454

Vertex coordinates: A[3.09768396657; 0] B[0; 0] C[35.93883177596; 8.87998475335]
Centroid: CG[13.01217191418; 2.93332825112]
Coordinates of the circumscribed circle: U[1.54884198329; 71.46217376754]
Coordinates of the inscribed circle: I[3.04884198329; 0.36877851446]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 15° = 2.88797932658 rad
∠ B' = β' = 166.2411280214° = 166°14'29″ = 0.24401349611 rad
∠ C' = γ' = 178.7598719786° = 178°45'31″ = 0.02216644267 rad

How did we calculate this triangle?

1. Input data entered: side a, b and angle α. 2. From angle α, side b and side a we calculate side c - by using the law of cosines and quadratic equation:  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     