10.2 6.5 14.1 triangle

Obtuse scalene triangle.

Sides: a = 10.2   b = 6.5   c = 14.1

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

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

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

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

Inradius: r = 1.9776550846
Circumradius: R = 7.67879262821

Vertex coordinates: A[14.1; 0] B[0; 0] C[9.24111347518; 4.31875720607]
Centroid: CG[7.78803782506; 1.43991906869]
Coordinates of the circumscribed circle: U[7.05; -3.0411060998]
Coordinates of the inscribed circle: I[8.9; 1.9776550846]

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

How did we calculate this triangle?

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. 1. The triangle circumference is the sum of the lengths of its three sides 2. Semiperimeter of the triangle 3. The triangle area using Heron's formula 4. Calculate the heights of the triangle from its area. 5. Calculation of the inner angles of the triangle using a Law of Cosines     