# 13.6 57 58.6 triangle

### Right scalene triangle.

Sides: a = 13.6   b = 57   c = 58.6

Area: T = 387.6
Perimeter: p = 129.2
Semiperimeter: s = 64.6

Angle ∠ A = α = 13.42196736155° = 13°25'11″ = 0.23442174891 rad
Angle ∠ B = β = 76.58803263845° = 76°34'49″ = 1.33765788377 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 57
Height: hb = 13.6
Height: hc = 13.2298668942

Median: ma = 57.40441810324
Median: mb = 31.5798632016
Median: mc = 29.3

Inradius: r = 6
Circumradius: R = 29.3

Vertex coordinates: A[58.6; 0] B[0; 0] C[3.15663139932; 13.2298668942]
Centroid: CG[20.58554379977; 4.4109556314]
Coordinates of the circumscribed circle: U[29.3; -0]
Coordinates of the inscribed circle: I[7.6; 6]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 166.5880326384° = 166°34'49″ = 0.23442174891 rad
∠ B' = β' = 103.4219673616° = 103°25'11″ = 1.33765788377 rad
∠ C' = γ' = 90° = 1.57107963268 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    