# 150 150 150 triangle

### Equilateral triangle.

Sides: a = 150   b = 150   c = 150

Area: T = 9742.786579257
Perimeter: p = 450
Semiperimeter: s = 225

Angle ∠ A = α = 60° = 1.04771975512 rad
Angle ∠ B = β = 60° = 1.04771975512 rad
Angle ∠ C = γ = 60° = 1.04771975512 rad

Height: ha = 129.9043810568
Height: hb = 129.9043810568
Height: hc = 129.9043810568

Median: ma = 129.9043810568
Median: mb = 129.9043810568
Median: mc = 129.9043810568

Inradius: r = 43.30112701892
Circumradius: R = 86.60325403784

Vertex coordinates: A[150; 0] B[0; 0] C[75; 129.9043810568]
Centroid: CG[75; 43.30112701892]
Coordinates of the circumscribed circle: U[75; 43.30112701892]
Coordinates of the inscribed circle: I[75; 43.30112701892]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 120° = 1.04771975512 rad
∠ B' = β' = 120° = 1.04771975512 rad
∠ C' = γ' = 120° = 1.04771975512 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    