Triangle calculator

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

Obtuse scalene triangle.

Sides: a = 76   b = 43.81880567745   c = 44

Area: T = 836
Perimeter: p = 163.8188056775
Semiperimeter: s = 81.90990283872

Angle ∠ A = α = 119.8632549584° = 119°51'45″ = 2.09219961401 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 30.13774504164° = 30°8'15″ = 0.52659977379 rad

Height: ha = 22
Height: hb = 38.15877852392
Height: hc = 38

Median: ma = 222.0002511291
Median: mb = 58.10333086418
Median: mc = 588.0000952563

Inradius: r = 10.20664450826
Circumradius: R = 43.81880567745

Vertex coordinates: A[44; 0] B[0; 0] C[65.81879306876; 38]
Centroid: CG[36.60659768959; 12.66766666667]
Coordinates of the circumscribed circle: U[22; 37.89548822335]
Coordinates of the inscribed circle: I[38.09109716128; 10.20664450826]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 60.13774504164° = 60°8'15″ = 2.09219961401 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 149.8632549584° = 149°51'45″ = 0.52659977379 rad

How did we calculate this triangle?

1. Input data entered: side a, c and angle β. 2. 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. 3. The triangle circumference is the sum of the lengths of its three sides 4. Semiperimeter of the triangle 5. The triangle area using Heron's formula 6. Calculate the heights of the triangle from its area. 7. Calculation of the inner angles of the triangle using a Law of Cosines     