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 = 24.55985797446   b = 19.55111142522   c = 43.5

Area: T = 78.95222653225
Perimeter: p = 87.61096939969
Semiperimeter: s = 43.80548469984

Angle ∠ A = α = 10.7° = 10°42' = 0.187675023 rad
Angle ∠ B = β = 8.5° = 8°30' = 0.14883529864 rad
Angle ∠ C = γ = 160.8° = 160°48' = 2.80664894372 rad

Height: ha = 6.43297093841
Height: hb = 8.07664977693
Height: hc = 3.63299892102

Median: ma = 31.40880733966
Median: mb = 33.94329727987
Median: mc = 4.43297238953

Inradius: r = 1.80223636819
Circumradius: R = 66.13662294282

Vertex coordinates: A[43.5; 0] B[0; 0] C[24.28988249491; 3.63299892102]
Centroid: CG[22.5966274983; 1.21099964034]
Coordinates of the circumscribed circle: U[21.75; -62.45774922886]
Coordinates of the inscribed circle: I[24.25437327462; 1.80223636819]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 169.3° = 169°18' = 0.187675023 rad
∠ B' = β' = 171.5° = 171°30' = 0.14883529864 rad
∠ C' = γ' = 19.2° = 19°12' = 2.80664894372 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     