Triangle calculator

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

Acute scalene triangle.

Sides: a = 50   b = 111.8   c = 100

Area: T = 25009.99999278
Perimeter: p = 261.8
Semiperimeter: s = 130.9

Angle ∠ A = α = 26.56659220332° = 26°33'57″ = 0.46436628083 rad
Angle ∠ B = β = 89.99656455208° = 89°59'44″ = 1.57107203268 rad
Angle ∠ C = γ = 63.4388432446° = 63°26'18″ = 1.10772095185 rad

Height: ha = 100.9999997112
Height: hb = 44.72327190122
Height: hc = 509.9999998556

Median: ma = 103.0765797353
Median: mb = 55.90333988233
Median: mc = 70.70879910618

Inradius: r = 19.09985484552
Circumradius: R = 55.99000001614

Vertex coordinates: A[100; 0] B[0; 0] C[0.00438; 509.9999998556]
Centroid: CG[33.33546; 16.66766666185]
Coordinates of the circumscribed circle: U[50; 24.99662000722]
Coordinates of the inscribed circle: I[19.1; 19.09985484552]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.4344077967° = 153°26'3″ = 0.46436628083 rad
∠ B' = β' = 90.00443544792° = 90°16″ = 1.57107203268 rad
∠ C' = γ' = 116.5621567554° = 116°33'42″ = 1.10772095185 rad

How did we calculate this triangle?

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