5.7 10.2 9.8 triangle

Acute scalene triangle.

Sides: a = 5.7   b = 10.2   c = 9.8

Area: T = 27.25106861152
Perimeter: p = 25.7
Semiperimeter: s = 12.85

Angle ∠ A = α = 33.0410506482° = 33°2'26″ = 0.57766656246 rad
Angle ∠ B = β = 77.33774374776° = 77°20'15″ = 1.3549792919 rad
Angle ∠ C = γ = 69.62220560404° = 69°37'19″ = 1.21551341099 rad

Height: ha = 9.5621644251
Height: hb = 5.34332717873
Height: hc = 5.56113645133

Median: ma = 9.58773614723
Median: mb = 6.18550626513
Median: mc = 6.65224431602

Inradius: r = 2.12106759623
Circumradius: R = 5.22771344434

Vertex coordinates: A[9.8; 0] B[0; 0] C[1.24994897959; 5.56113645133]
Centroid: CG[3.68331632653; 1.85437881711]
Coordinates of the circumscribed circle: U[4.9; 1.82201468319]
Coordinates of the inscribed circle: I[2.65; 2.12106759623]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.9599493518° = 146°57'34″ = 0.57766656246 rad
∠ B' = β' = 102.6632562522° = 102°39'45″ = 1.3549792919 rad
∠ C' = γ' = 110.378794396° = 110°22'41″ = 1.21551341099 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     