68.01 37.83 42.15 triangle

Obtuse scalene triangle.

Sides: a = 68.01   b = 37.83   c = 42.15

Area: T = 714.1644282383
Perimeter: p = 147.99
Semiperimeter: s = 73.995

Angle ∠ A = α = 116.3933108909° = 116°23'35″ = 2.03114429771 rad
Angle ∠ B = β = 29.88550813738° = 29°53'6″ = 0.52215930672 rad
Angle ∠ C = γ = 33.72218097169° = 33°43'19″ = 0.58985566093 rad

Height: ha = 21.00217433431
Height: hb = 37.75765044876
Height: hc = 33.88767986896

Median: ma = 21.15548026462
Median: mb = 53.32217973722
Median: mc = 50.83438359265

Inradius: r = 9.65215208106
Circumradius: R = 37.96219556803

Vertex coordinates: A[42.15; 0] B[0; 0] C[58.96664733096; 33.88767986896]
Centroid: CG[33.70554911032; 11.29655995632]
Coordinates of the circumscribed circle: U[21.075; 31.57545855724]
Coordinates of the inscribed circle: I[36.165; 9.65215208106]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 63.60768910907° = 63°36'25″ = 2.03114429771 rad
∠ B' = β' = 150.1154918626° = 150°6'54″ = 0.52215930672 rad
∠ C' = γ' = 146.2788190283° = 146°16'41″ = 0.58985566093 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     