The base of the small right triangle = 5 / sqrt 3 = (5/3)sqrt (3)
The side of the triangle = twice the base = (10/3)sqrt (3)
The perimeter =
2 (5) + 2 ( 5/3) sqrt (3) + 2 ( 10/3) sqrt (3) =
10 + (10/3) sqrt (3) + (20/3)sqrt (3) =
10 + (30/3) sqrt (3) =
10 + 10 sqrt (3) =
10 ( 1 + sqrt (3) ) cm ≈ 27.32 cm
