Mathematics, 24.06.2019 20:20 surfer89
The endpoints of a regular pentagon are (-1,4) and (2,3). what is the perimeter of the pentagon? 1. square root of 10 2. 5 square root of 10 3. 5 square root of 2 4. 25 square root of 2
Answers: 1
![\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[2-(-1)]^2+[3-4]^2}\implies d=\sqrt{(2+1)^2+(3-4)^2} \\\\\\ d=\sqrt{9+1}\implies d=\sqrt{10}~\hfill \stackrel{\stackrel{~\hfill \stackrel{\textit{5 sides}}{}}{\textit{perimeter of the pentagon}}}{5\sqrt{10}}](/tpl/images/0013/0413/409eb.png)
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The endpoints of a regular pentagon are (-1,4) and (2,3). what is the perimeter of the pentagon? 1....
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