31 96 90 triangle

Obtuse scalene triangle.

Sides: a = 31   b = 96   c = 90

Area: T = 1394.46217017
Perimeter: p = 217
Semiperimeter: s = 108.5

Angle ∠ A = α = 18.83218611872° = 18°49'55″ = 0.3298677982 rad
Angle ∠ B = β = 91.59217541766° = 91°35'30″ = 1.59985776781 rad
Angle ∠ C = γ = 69.57663846362° = 69°34'35″ = 1.21443369935 rad

Height: ha = 89.96552710772
Height: hb = 29.0511285452
Height: hc = 30.98880378155

Median: ma = 91.74882969869
Median: mb = 47.18658029496
Median: mc = 55.34988933945

Inradius: r = 12.85221815825
Circumradius: R = 48.01985292421

Vertex coordinates: A[90; 0] B[0; 0] C[-0.86111111111; 30.98880378155]
Centroid: CG[29.7132962963; 10.32993459385]
Coordinates of the circumscribed circle: U[45; 16.75664659335]
Coordinates of the inscribed circle: I[12.5; 12.85221815825]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 161.1688138813° = 161°10'5″ = 0.3298677982 rad
∠ B' = β' = 88.40882458234° = 88°24'30″ = 1.59985776781 rad
∠ C' = γ' = 110.4243615364° = 110°25'25″ = 1.21443369935 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     