# Triangle calculator

Please enter what you know about the triangle:
You have entered side a, b and c.

### Equilateral triangle.

Sides: a = 40   b = 40   c = 40

Area: T = 692.8220323028
Perimeter: p = 120
Semiperimeter: s = 60

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

Height: ha = 34.64110161514
Height: hb = 34.64110161514
Height: hc = 34.64110161514

Median: ma = 34.64110161514
Median: mb = 34.64110161514
Median: mc = 34.64110161514

Inradius: r = 11.54770053838
Circumradius: R = 23.09440107676

Vertex coordinates: A[40; 0] B[0; 0] C[20; 34.64110161514]
Centroid: CG[20; 11.54770053838]
Coordinates of the circumscribed circle: U[20; 11.54770053838]
Coordinates of the inscribed circle: I[20; 11.54770053838]

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. Input data entered: side a, b and c. ### 2. The triangle circumference is the sum of the lengths of its three sides ### 3. Semiperimeter of the triangle ### 4. The triangle area using Heron's formula ### 5. Calculate the heights of the triangle from its area. ### 6. Calculation of the inner angles of the triangle using a Law of Cosines    