67 78 101 triangle

Acute scalene triangle.

Sides: a = 67   b = 78   c = 101

Area: T = 2611.34444813
Perimeter: p = 246
Semiperimeter: s = 123

Angle ∠ A = α = 41.52549440439° = 41°31'30″ = 0.72547469953 rad
Angle ∠ B = β = 50.51547165407° = 50°30'53″ = 0.88216481243 rad
Angle ∠ C = γ = 87.96603394154° = 87°57'37″ = 1.5355197534 rad

Height: ha = 77.95105815313
Height: hb = 66.95875508025
Height: hc = 51.71097917089

Median: ma = 83.78769321553
Median: mb = 76.31551361134
Median: mc = 52.30991770151

Inradius: r = 21.23304429374
Circumradius: R = 50.53220155748

Vertex coordinates: A[101; 0] B[0; 0] C[42.6043960396; 51.71097917089]
Centroid: CG[47.86879867987; 17.23765972363]
Coordinates of the circumscribed circle: U[50.5; 1.79884988322]
Coordinates of the inscribed circle: I[45; 21.23304429374]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.4755055956° = 138°28'30″ = 0.72547469953 rad
∠ B' = β' = 129.4855283459° = 129°29'7″ = 0.88216481243 rad
∠ C' = γ' = 92.04396605846° = 92°2'23″ = 1.5355197534 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     