# 37.9 26.4 40.59 triangle

### Acute scalene triangle.

Sides: a = 37.9   b = 26.4   c = 40.59

Area: T = 485.3132936148
Perimeter: p = 104.89
Semiperimeter: s = 52.445

Angle ∠ A = α = 64.93302783567° = 64°55'49″ = 1.13332471416 rad
Angle ∠ B = β = 39.12201025903° = 39°7'12″ = 0.68327745939 rad
Angle ∠ C = γ = 75.9549619053° = 75°56'59″ = 1.32655709181 rad

Height: ha = 25.61101813271
Height: hb = 36.76661315264
Height: hc = 23.91329310741

Median: ma = 28.51658122802
Median: mb = 36.98329562096
Median: mc = 25.58990205948

Inradius: r = 9.25437503317
Circumradius: R = 20.92108983395

Vertex coordinates: A[40.59; 0] B[0; 0] C[29.40437706332; 23.91329310741]
Centroid: CG[23.33112568777; 7.97109770247]
Coordinates of the circumscribed circle: U[20.295; 5.07990710107]
Coordinates of the inscribed circle: I[26.045; 9.25437503317]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 115.0769721643° = 115°4'11″ = 1.13332471416 rad
∠ B' = β' = 140.887989741° = 140°52'48″ = 0.68327745939 rad
∠ C' = γ' = 104.0550380947° = 104°3'1″ = 1.32655709181 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    