# 1.83 2.33 2.5 triangle

### Acute scalene triangle.

Sides: a = 1.83   b = 2.33   c = 2.5

Area: T = 2.03661360465
Perimeter: p = 6.66
Semiperimeter: s = 3.33

Angle ∠ A = α = 44.35550421493° = 44°21'18″ = 0.77441415254 rad
Angle ∠ B = β = 62.88875904887° = 62°53'15″ = 1.09875955127 rad
Angle ∠ C = γ = 72.75773673621° = 72°45'27″ = 1.27698556156 rad

Height: ha = 2.22552852968
Height: hb = 1.74877562631
Height: hc = 1.62989088372

Median: ma = 2.23765654473
Median: mb = 1.85553234219
Median: mc = 1.68111900547

Inradius: r = 0.61114522662
Circumradius: R = 1.30988209428

Vertex coordinates: A[2.5; 0] B[0; 0] C[0.834; 1.62989088372]
Centroid: CG[1.11113333333; 0.54329696124]
Coordinates of the circumscribed circle: U[1.25; 0.3887959096]
Coordinates of the inscribed circle: I[1; 0.61114522662]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.6454957851° = 135°38'42″ = 0.77441415254 rad
∠ B' = β' = 117.1122409511° = 117°6'45″ = 1.09875955127 rad
∠ C' = γ' = 107.2432632638° = 107°14'33″ = 1.27698556156 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    