75 75 75 triangle

Equilateral triangle.

Sides: a = 75   b = 75   c = 75

Area: T = 2435.696644814
Perimeter: p = 225
Semiperimeter: s = 112.5

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

Height: ha = 64.95219052838
Height: hb = 64.95219052838
Height: hc = 64.95219052838

Median: ma = 64.95219052838
Median: mb = 64.95219052838
Median: mc = 64.95219052838

Inradius: r = 21.65106350946
Circumradius: R = 43.30112701892

Vertex coordinates: A[75; 0] B[0; 0] C[37.5; 64.95219052838]
Centroid: CG[37.5; 21.65106350946]
Coordinates of the circumscribed circle: U[37.5; 21.65106350946]
Coordinates of the inscribed circle: I[37.5; 21.65106350946]

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    