SOLUTION: the endpoints of one side of a regular pentagon are(-1,4)and (2,3).what is the perimeter of the pentagon? 1)√10 2)5√10 3)5√2 4)25√2

Algebra ->  Test -> SOLUTION: the endpoints of one side of a regular pentagon are(-1,4)and (2,3).what is the perimeter of the pentagon? 1)√10 2)5√10 3)5√2 4)25√2      Log On


   



Question 1031516: the endpoints of one side of a regular pentagon are(-1,4)and (2,3).what is the perimeter of the pentagon?
1)√10
2)5√10
3)5√2
4)25√2

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
We use the distance formula and get
d+=+sqrt%28%28x%5B2%5D-x%5B1%5D%29%5E2+%2B+%28y%5B2%5D-y%5B1%5D%29%5E2%29
d+=+sqrt%28%28-1-2%29%5E2+%2B+%284-3%29%5E2%29
d+=+sqrt%289+%2B+1%29+=+sqrt%2810%29
Since a regular pentagon has five equal sides, the perimeter is 5 times that...
Choice 2 is correct.