Triangle calculator

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

Right scalene triangle.

Sides: a = 17.45224064373   b = 999.8487695156   c = 1000

Area: T = 8724.874417563
Perimeter: p = 2017.330010159
Semiperimeter: s = 1008.65500508

Angle ∠ A = α = 1° = 0.01774532925 rad
Angle ∠ B = β = 89° = 1.55333430343 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 999.8487695156
Height: hb = 17.45224064373
Height: hc = 17.45497483513

Median: ma = 999.8865773542
Median: mb = 500.2288387707
Median: mc = 500

Inradius: r = 8.65500507968
Circumradius: R = 500

Vertex coordinates: A[1000; 0] B[0; 0] C[0.30545864905; 17.45497483513]
Centroid: CG[333.4354862163; 5.81765827838]
Coordinates of the circumscribed circle: U[500; 0]
Coordinates of the inscribed circle: I[8.80223556404; 8.65500507968]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 179° = 0.01774532925 rad
∠ B' = β' = 91° = 1.55333430343 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. Input data entered: side c, angle α and angle γ. 2. From angle α, angle γ and side c we calculate side a - By using the law of sines, we calculate unknown side a: 3. Calculation of the third side b 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. 4. The triangle circumference is the sum of the lengths of its three sides 5. Semiperimeter of the triangle 6. The triangle area using Heron's formula 7. Calculate the heights of the triangle from its area. 8. Calculation of the inner angles of the triangle using a Law of Cosines     