Triangle calculator

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

Right scalene triangle.

Sides: a = 0.35443872993   b = 3.21   c = 3.23295031132

Area: T = 0.56987916154
Perimeter: p = 6.79438904124
Semiperimeter: s = 3.39769452062

Angle ∠ A = α = 6.3° = 6°18' = 0.11099557429 rad
Angle ∠ B = β = 83.7° = 83°42' = 1.46108405839 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 3.21
Height: hb = 0.35443872993
Height: hc = 0.35222471386

Median: ma = 3.21548868704
Median: mb = 1.64436591368
Median: mc = 1.61547515566

Inradius: r = 0.16774420931
Circumradius: R = 1.61547515566

Vertex coordinates: A[3.23295031132; 0] B[0; 0] C[0.03988884461; 0.35222471386]
Centroid: CG[1.08994638531; 0.11774157129]
Coordinates of the circumscribed circle: U[1.61547515566; -0]
Coordinates of the inscribed circle: I[0.18769452062; 0.16774420931]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 173.7° = 173°42' = 0.11099557429 rad
∠ B' = β' = 96.3° = 96°18' = 1.46108405839 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. Input data entered: side b, angle β and angle γ. 2. From angle γ, angle β and side b we calculate side c - By using the law of sines, we calculate unknown side c: 3. 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. 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     