geometry pentagon

Question

a (5,4) is the midpoint of cd and d is (-3,2). if cd is one side pof a regular pentagon what is the perimieter of the pentagon

Answer 1

The distance from (5,4) to (-3,2) is sqrt(8² + 2²) = 2 sqrt(17)

Therefore, cd is 4 sqrt(17) and the perimeter of the regular pentagon is 20 sqrt(17).