114 59 61 triangle

Obtuse scalene triangle.

Sides: a = 114   b = 59   c = 61

Area: T = 1067.733030303
Perimeter: p = 234
Semiperimeter: s = 117

Angle ∠ A = α = 143.6055023023° = 143°36'18″ = 2.50663804742 rad
Angle ∠ B = β = 17.88435731154° = 17°53'1″ = 0.31221272329 rad
Angle ∠ C = γ = 18.51114038614° = 18°30'41″ = 0.32330849465 rad

Height: ha = 18.73221105794
Height: hb = 36.19442475602
Height: hc = 35.00875509189

Median: ma = 18.76216630393
Median: mb = 86.53546751308
Median: mc = 85.48883032935

Vertex coordinates: A[61; 0] B[0; 0] C[108.4921803279; 35.00875509189]
Centroid: CG[56.49772677596; 11.66991836396]
Coordinates of the circumscribed circle: U[30.5; 91.0954632909]
Coordinates of the inscribed circle: I[58; 9.12659000259]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 36.39549769769° = 36°23'42″ = 2.50663804742 rad
∠ B' = β' = 162.1166426885° = 162°6'59″ = 0.31221272329 rad
∠ C' = γ' = 161.4898596139° = 161°29'19″ = 0.32330849465 rad

How did we calculate this triangle?

Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. 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    