96 89 116 triangle

Acute scalene triangle.

Sides: a = 96   b = 89   c = 116

Area: T = 4171.705515946
Perimeter: p = 301
Semiperimeter: s = 150.5

Angle ∠ A = α = 53.91662301718° = 53°54'58″ = 0.94110157368 rad
Angle ∠ B = β = 48.52436058471° = 48°31'25″ = 0.8476896687 rad
Angle ∠ C = γ = 77.56601639812° = 77°33'37″ = 1.35436802299 rad

Height: ha = 86.91105241555
Height: hb = 93.74661833587
Height: hc = 71.92659510252

Median: ma = 91.56769154225
Median: mb = 96.72551260015
Median: mc = 72.14222206478

Inradius: r = 27.71989711592
Circumradius: R = 59.39444179967

Vertex coordinates: A[116; 0] B[0; 0] C[63.58218965517; 71.92659510252]
Centroid: CG[59.86106321839; 23.97553170084]
Coordinates of the circumscribed circle: U[58; 12.79444085116]
Coordinates of the inscribed circle: I[61.5; 27.71989711592]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 126.0843769828° = 126°5'2″ = 0.94110157368 rad
∠ B' = β' = 131.4766394153° = 131°28'35″ = 0.8476896687 rad
∠ C' = γ' = 102.4439836019° = 102°26'23″ = 1.35436802299 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     