Triangle calculator

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

Acute scalene triangle.

Sides: a = 154   b = 179   c = 183

Area: T = 12608.71112744
Perimeter: p = 516
Semiperimeter: s = 258

Angle ∠ A = α = 50.33989029005° = 50°20'20″ = 0.87985795975 rad
Angle ∠ B = β = 63.4843521325° = 63°29'1″ = 1.10879964679 rad
Angle ∠ C = γ = 66.17875757745° = 66°10'39″ = 1.15550165883 rad

Height: ha = 163.7499497069
Height: hb = 140.8799455579
Height: hc = 137.8800123217

Median: ma = 163.8176971038
Median: mb = 143.5
Median: mc = 139.6654777235

Inradius: r = 48.87109739316
Circumradius: R = 100.0221681246

Vertex coordinates: A[183; 0] B[0; 0] C[68.75440983607; 137.8800123217]
Centroid: CG[83.91880327869; 45.93333744057]
Coordinates of the circumscribed circle: U[91.5; 40.3999093049]
Coordinates of the inscribed circle: I[79; 48.87109739316]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 129.6611097099° = 129°39'40″ = 0.87985795975 rad
∠ B' = β' = 116.5166478675° = 116°30'59″ = 1.10879964679 rad
∠ C' = γ' = 113.8222424226° = 113°49'21″ = 1.15550165883 rad

How did we calculate this triangle?

1. Input data entered: side a, b and c. 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     