# 39 52 65 triangle

### Right scalene Pythagorean triangle.

Sides: a = 39   b = 52   c = 65

Area: T = 1014
Perimeter: p = 156
Semiperimeter: s = 78

Angle ∠ A = α = 36.87698976458° = 36°52'12″ = 0.64435011088 rad
Angle ∠ B = β = 53.13301023542° = 53°7'48″ = 0.9277295218 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 52
Height: hb = 39
Height: hc = 31.2

Median: ma = 55.53660243446
Median: mb = 46.8722166581
Median: mc = 32.5

Inradius: r = 13
Circumradius: R = 32.5

Vertex coordinates: A[65; 0] B[0; 0] C[23.4; 31.2]
Centroid: CG[29.46766666667; 10.4]
Coordinates of the circumscribed circle: U[32.5; 0]
Coordinates of the inscribed circle: I[26; 13]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.1330102354° = 143°7'48″ = 0.64435011088 rad
∠ B' = β' = 126.8769897646° = 126°52'12″ = 0.9277295218 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    