# 60 91 109 triangle

### Right scalene triangle.

Sides: a = 60   b = 91   c = 109

Area: T = 2730
Perimeter: p = 260
Semiperimeter: s = 130

Angle ∠ A = α = 33.3988488468° = 33°23'55″ = 0.5832913589 rad
Angle ∠ B = β = 56.6021511532° = 56°36'5″ = 0.98878827378 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 91
Height: hb = 60
Height: hc = 50.09217431193

Median: ma = 95.81875349297
Median: mb = 75.30110624095
Median: mc = 54.5

Inradius: r = 21
Circumradius: R = 54.5

Vertex coordinates: A[109; 0] B[0; 0] C[33.02875229358; 50.09217431193]
Centroid: CG[47.34325076453; 16.69772477064]
Coordinates of the circumscribed circle: U[54.5; -0]
Coordinates of the inscribed circle: I[39; 21]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.6021511532° = 146°36'5″ = 0.5832913589 rad
∠ B' = β' = 123.3988488468° = 123°23'55″ = 0.98878827378 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    