9.2 15.1 17.4 triangle

Acute scalene triangle.

Sides: a = 9.2   b = 15.1   c = 17.4

Area: T = 69.41659804638
Perimeter: p = 41.7
Semiperimeter: s = 20.85

Angle ∠ A = α = 31.89774501112° = 31°53'51″ = 0.55767155274 rad
Angle ∠ B = β = 60.1422482921° = 60°8'33″ = 1.05496843473 rad
Angle ∠ C = γ = 87.96600669679° = 87°57'36″ = 1.53551927789 rad

Height: ha = 15.09904305356
Height: hb = 9.19441695979
Height: hc = 7.97988483292

Median: ma = 15.62876997668
Median: mb = 11.69217706101
Median: mc = 8.98796993268

Vertex coordinates: A[17.4; 0] B[0; 0] C[4.58801724138; 7.97988483292]
Centroid: CG[7.32767241379; 2.66596161097]
Coordinates of the circumscribed circle: U[8.7; 0.31098818148]
Coordinates of the inscribed circle: I[5.75; 3.32993036194]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.1032549889° = 148°6'9″ = 0.55767155274 rad
∠ B' = β' = 119.8587517079° = 119°51'27″ = 1.05496843473 rad
∠ C' = γ' = 92.04399330321° = 92°2'24″ = 1.53551927789 rad

How did we calculate this triangle? 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    