Triangle calculator

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

Acute scalene triangle.

Sides: a = 15.27   b = 4.94   c = 14.55

Area: T = 35.93110179839
Perimeter: p = 34.76
Semiperimeter: s = 17.38

Angle ∠ A = α = 88.83108384865° = 88°49'51″ = 1.55503906089 rad
Angle ∠ B = β = 18.87112591154° = 18°52'17″ = 0.32993656056 rad
Angle ∠ C = γ = 72.29879023981° = 72°17'52″ = 1.26218364391 rad

Height: ha = 4.70660927287
Height: hb = 14.54769708437
Height: hc = 4.93989715442

Median: ma = 7.73304479172
Median: mb = 14.70883921623
Median: mc = 8.71099153268

Inradius: r = 2.06773773293
Circumradius: R = 7.63765898573

Vertex coordinates: A[14.55; 0] B[0; 0] C[14.44992027491; 4.93989715442]
Centroid: CG[9.66664009164; 1.64663238481]
Coordinates of the circumscribed circle: U[7.275; 2.32220421291]
Coordinates of the inscribed circle: I[12.44; 2.06773773293]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 91.16991615135° = 91°10'9″ = 1.55503906089 rad
∠ B' = β' = 161.1298740885° = 161°7'43″ = 0.32993656056 rad
∠ C' = γ' = 107.7022097602° = 107°42'8″ = 1.26218364391 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     