# 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?

### 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    