Triangle calculator

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

Obtuse scalene triangle.

Sides: a = 5.74765599714   b = 5.74765599714   c = 10.8

Area: T = 10.61333720312
Perimeter: p = 22.29331199427
Semiperimeter: s = 11.14765599714

Angle ∠ A = α = 20° = 0.34990658504 rad
Angle ∠ B = β = 20° = 0.34990658504 rad
Angle ∠ C = γ = 140° = 2.44334609528 rad

Height: ha = 3.69438175479
Height: hb = 3.69438175479
Height: hc = 1.9655439265

Median: ma = 8.15993956808
Median: mb = 8.15993956808
Median: mc = 1.9655439265

Inradius: r = 0.95221656958
Circumradius: R = 8.4010908665

Vertex coordinates: A[10.8; 0] B[0; 0] C[5.4; 1.9655439265]
Centroid: CG[5.4; 0.65551464217]
Coordinates of the circumscribed circle: U[5.4; -6.43554694]
Coordinates of the inscribed circle: I[5.4; 0.95221656958]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160° = 0.34990658504 rad
∠ B' = β' = 160° = 0.34990658504 rad
∠ C' = γ' = 40° = 2.44334609528 rad

How did we calculate this triangle?

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