Question

Given an equilateral triangle with two vertices located at (-8, -5) and (3, 7), what is its perimeter?

Answer 1

well, we know is an EQUIlateral triangle, so all 3 sides are equal, so hmmm we can just get the distance between those two vertices and triple it for its perimeter.

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-8}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{7})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√([3 - (-8)]^2 + [7 - (-5)]^2)\implies d=√((3+8)^2 + (7+5)^2) \\\\\\ d=√(265)\implies \stackrel{triple~that}{3√(265)} ~~ \approx ~~ 48.84`