94 85 105 triangle

Acute scalene triangle.

Sides: a = 94   b = 85   c = 105

Area: T = 3791.433033696
Perimeter: p = 284
Semiperimeter: s = 142

Angle ∠ A = α = 58.17703889792° = 58°10'13″ = 1.01552648149 rad
Angle ∠ B = β = 50.19991139481° = 50°11'57″ = 0.876613982 rad
Angle ∠ C = γ = 71.63304970727° = 71°37'50″ = 1.25501880188 rad

Height: ha = 80.66987305736
Height: hb = 89.21101255755
Height: hc = 72.21877207039

Median: ma = 83.16224915452
Median: mb = 90.13546215391
Median: mc = 72.62440318352

Inradius: r = 26.77002136405
Circumradius: R = 55.31988325671

Vertex coordinates: A[105; 0] B[0; 0] C[60.17114285714; 72.21877207039]
Centroid: CG[55.05771428571; 24.0732573568]
Coordinates of the circumscribed circle: U[52.5; 17.43333942934]
Coordinates of the inscribed circle: I[57; 26.77002136405]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 121.8329611021° = 121°49'47″ = 1.01552648149 rad
∠ B' = β' = 129.8010886052° = 129°48'3″ = 0.876613982 rad
∠ C' = γ' = 108.3769502927° = 108°22'10″ = 1.25501880188 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     