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 = 0.03   b = 0.0133445871   c = 0.02327119721

Area: T = 00.0001439774
Perimeter: p = 0.0666157843
Semiperimeter: s = 0.03330789215

Angle ∠ A = α = 109.45° = 109°27' = 1.91102628663 rad
Angle ∠ B = β = 25° = 0.4366332313 rad
Angle ∠ C = γ = 45.55° = 45°33' = 0.79549974743 rad

Height: ha = 0.01095984942
Height: hb = 0.02114158551
Height: hc = 0.01326785479

Median: ma = 0.01111046189
Median: mb = 0.02657433288
Median: mc = 0.02202839174

Inradius: r = 0.00443525425
Circumradius: R = 0.01659078206

Vertex coordinates: A[0.02327119721; 0] B[0; 0] C[0.02771892336; 0.01326785479]
Centroid: CG[0.01766337352; 0.00442261826]
Coordinates of the circumscribed circle: U[0.0111355986; 0.01111400331]
Coordinates of the inscribed circle: I[0.02196330505; 0.00443525425]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 70.55° = 70°33' = 1.91102628663 rad
∠ B' = β' = 155° = 0.4366332313 rad
∠ C' = γ' = 134.45° = 134°27' = 0.79549974743 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     