Triangle calculator

You have entered side b, angle α and angle β.

Right scalene triangle.

Sides: a = 1.04443258315   b = 0.8   c = 0.67112797049

Area: T = 0.2698511882
Perimeter: p = 2.51656055364
Semiperimeter: s = 1.25878027682

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 50° = 0.8732664626 rad
Angle ∠ C = γ = 40° = 0.69881317008 rad

Height: ha = 0.51442300877
Height: hb = 0.67112797049
Height: hc = 0.8

Median: ma = 0.52221629157
Median: mb = 0.78114195047
Median: mc = 0.8687556402

Vertex coordinates: A[0.67112797049; 0] B[0; 0] C[0.67112797049; 0.8]
Centroid: CG[0.44875198033; 0.26766666667]
Coordinates of the circumscribed circle: U[0.33656398525; 0.4]
Coordinates of the inscribed circle: I[0.45878027682; 0.21334769367]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 130° = 0.8732664626 rad
∠ C' = γ' = 140° = 0.69881317008 rad

How did we calculate this triangle?

1. Input data entered: side b, angle α and angle β. 2. From angle α and angle β we calculate angle γ: 3. From angle α, angle β and side b we calculate side a - By using the law of sines, we calculate unknown side a: 4. Calculation of the third side c 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. 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    