31 35 39 triangle

Acute scalene triangle.

Sides: a = 31   b = 35   c = 39

Area: T = 516.3988283789
Perimeter: p = 105
Semiperimeter: s = 52.5

Angle ∠ A = α = 49.16877829725° = 49°10'4″ = 0.85881396988 rad
Angle ∠ B = β = 58.67877347743° = 58°40'40″ = 1.02441196694 rad
Angle ∠ C = γ = 72.15444822532° = 72°9'16″ = 1.25993332854 rad

Height: ha = 33.3166018309
Height: hb = 29.50884733594
Height: hc = 26.48219632712

Median: ma = 33.65663515551
Median: mb = 30.57436814924
Median: mc = 26.69773781484

Inradius: r = 9.83661577865
Circumradius: R = 20.48656412813

Vertex coordinates: A[39; 0] B[0; 0] C[16.11553846154; 26.48219632712]
Centroid: CG[18.37217948718; 8.82773210904]
Coordinates of the circumscribed circle: U[19.5; 6.2787857812]
Coordinates of the inscribed circle: I[17.5; 9.83661577865]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130.8322217027° = 130°49'56″ = 0.85881396988 rad
∠ B' = β' = 121.3222265226° = 121°19'20″ = 1.02441196694 rad
∠ C' = γ' = 107.8465517747° = 107°50'44″ = 1.25993332854 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     