35 50 80 triangle

Obtuse scalene triangle.

Sides: a = 35   b = 50   c = 80

Area: T = 564.2688054651
Perimeter: p = 165
Semiperimeter: s = 82.5

Angle ∠ A = α = 16.38876115035° = 16°23'15″ = 0.28660177773 rad
Angle ∠ B = β = 23.76989007051° = 23°46'8″ = 0.41548455769 rad
Angle ∠ C = γ = 139.8433487791° = 139°50'37″ = 2.44107292994 rad

Height: ha = 32.24438888372
Height: hb = 22.57107221861
Height: hc = 14.10767013663

Median: ma = 64.37219659479
Median: mb = 56.45879489532
Median: mc = 16.2021851746

Inradius: r = 6.84396127837
Circumradius: R = 62.02772576331

Vertex coordinates: A[80; 0] B[0; 0] C[32.031125; 14.10767013663]
Centroid: CG[37.344375; 4.70222337888]
Coordinates of the circumscribed circle: U[40; -47.40765469053]
Coordinates of the inscribed circle: I[32.5; 6.84396127837]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 163.6122388497° = 163°36'45″ = 0.28660177773 rad
∠ B' = β' = 156.2311099295° = 156°13'52″ = 0.41548455769 rad
∠ C' = γ' = 40.15765122086° = 40°9'23″ = 2.44107292994 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     