# 5.66 5.39 6.08 triangle

### Acute scalene triangle.

Sides: a = 5.66   b = 5.39   c = 6.08

Area: T = 14.01110864705
Perimeter: p = 17.13
Semiperimeter: s = 8.565

Angle ∠ A = α = 58.76991648896° = 58°46'9″ = 1.0265715426 rad
Angle ∠ B = β = 54.51877182548° = 54°31'4″ = 0.95215136842 rad
Angle ∠ C = γ = 66.71331168556° = 66°42'47″ = 1.16443635434 rad

Height: ha = 4.95109139472
Height: hb = 5.1998918913
Height: hc = 4.60989100232

Median: ma = 55.0000349999
Median: mb = 5.21990013413
Median: mc = 4.61554360574

Inradius: r = 1.63658536451
Circumradius: R = 3.31096111495

Vertex coordinates: A[6.08; 0] B[0; 0] C[3.28553536184; 4.60989100232]
Centroid: CG[3.12217845395; 1.53663033411]
Coordinates of the circumscribed circle: U[3.04; 1.30884058855]
Coordinates of the inscribed circle: I[3.175; 1.63658536451]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 121.231083511° = 121°13'51″ = 1.0265715426 rad
∠ B' = β' = 125.4822281745° = 125°28'56″ = 0.95215136842 rad
∠ C' = γ' = 113.2876883144° = 113°17'13″ = 1.16443635434 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    