70 67 82 triangle

Acute scalene triangle.

Sides: a = 70   b = 67   c = 82

Area: T = 2248.363294612
Perimeter: p = 219
Semiperimeter: s = 109.5

Angle ∠ A = α = 54.93328655241° = 54°55'58″ = 0.9598759371 rad
Angle ∠ B = β = 51.57330979085° = 51°34'23″ = 0.9900120364 rad
Angle ∠ C = γ = 73.49440365675° = 73°29'39″ = 1.28327129187 rad

Height: ha = 64.23989413178
Height: hb = 67.11553118246
Height: hc = 54.83881206372

Median: ma = 66.19328999214
Median: mb = 68.48217493935
Median: mc = 54.89553549948

Inradius: r = 20.53329949418
Circumradius: R = 42.76222240287

Vertex coordinates: A[82; 0] B[0; 0] C[43.5066097561; 54.83881206372]
Centroid: CG[41.83553658537; 18.27993735457]
Coordinates of the circumscribed circle: U[41; 12.14993952065]
Coordinates of the inscribed circle: I[42.5; 20.53329949418]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.0677134476° = 125°4'2″ = 0.9598759371 rad
∠ B' = β' = 128.4276902092° = 128°25'37″ = 0.9900120364 rad
∠ C' = γ' = 106.5065963433° = 106°30'21″ = 1.28327129187 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     