# Triangle calculator

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

### Equilateral triangle.

Sides: a = 50   b = 50   c = 50

Area: T = 1082.532175473
Perimeter: p = 150
Semiperimeter: s = 75

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

Height: ha = 43.30112701892
Height: hb = 43.30112701892
Height: hc = 43.30112701892

Median: ma = 43.30112701892
Median: mb = 43.30112701892
Median: mc = 43.30112701892

Inradius: r = 14.43437567297
Circumradius: R = 28.86875134595

Vertex coordinates: A[50; 0] B[0; 0] C[25; 43.30112701892]
Centroid: CG[25; 14.43437567297]
Coordinates of the circumscribed circle: U[25; 14.43437567297]
Coordinates of the inscribed circle: I[25; 14.43437567297]

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    