Answer:
The perimeter is [tex]7\sqrt{73}[/tex] ≈ 59.808 units
Explanation:
A regular heptagon is a polygon that has 7 equal sides.
To get its perimeter, we need to get the length of only one side and multiply it by 7
1- getting side length:
We are given that there are two consecutive vertices at (1,2) and (4,10)
The length of the side can be calculated using the distance formula as follows:
Length = [tex]\sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2} = \sqrt{(4-1)^2+(10-2)^2} = \sqrt{73}[/tex] units
2- getting the perimeter:
Perimeter = 7 * side length
Perimeter = [tex]7*\sqrt{73}=7\sqrt{73}[/tex] ≈ 59.808 units
Hope this helps :)
