Triangle calculator

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

Obtuse scalene triangle.

Sides: a = 6.5   b = 14.1   c = 10.2

Area: T = 30.43988830281
Perimeter: p = 30.8
Semiperimeter: s = 15.4

Angle ∠ A = α = 25.04325610751° = 25°2'33″ = 0.43770751439 rad
Angle ∠ B = β = 113.3333250051° = 113°20' = 1.97880383654 rad
Angle ∠ C = γ = 41.62441888734° = 41°37'27″ = 0.72664791443 rad

Height: ha = 9.36658101625
Height: hb = 4.31875720607
Height: hc = 5.96884084369

Median: ma = 11.86985508804
Median: mb = 4.8421745553
Median: mc = 9.72221396822

Inradius: r = 1.9776550846
Circumradius: R = 7.67879262821

Vertex coordinates: A[10.2; 0] B[0; 0] C[-2.57545098039; 5.96884084369]
Centroid: CG[2.54218300654; 1.9899469479]
Coordinates of the circumscribed circle: U[5.1; 5.73993860293]
Coordinates of the inscribed circle: I[1.3; 1.9776550846]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 154.9577438925° = 154°57'27″ = 0.43770751439 rad
∠ B' = β' = 66.66767499485° = 66°40' = 1.97880383654 rad
∠ C' = γ' = 138.3765811127° = 138°22'33″ = 0.72664791443 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     