Question

What is the perimeter? (triangle) round to nearest tenth
A(-3, 6)
C(-3.2)
B (3,2)

Answer 1

`~\hfill \stackrel{\textit{\large distance between 2 points}}{d = √(( x_2- x_1)^2 + ( y_2- y_1)^2)}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{6})\qquad C(\stackrel{x_2}{-3}~,~\stackrel{y_2}{2}) ~\hfill AC=√((~~ -3- (-3)~~)^2 + (~~ 2- 6~~)^2) \\\\\\ ~\hfill AC=√(( 0)^2 + ( -4)^2)\implies AC=4 \\\\\\ C(\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{3}~,~\stackrel{y_2}{2}) ~\hfill CB=√((~~ 3- (-3)~~)^2 + (~~ 2- 2~~)^2)`

`~\hfill CB=√(( 6)^2 + ( 0)^2)\implies CB=6 \\\\\\ B(\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\qquad A(\stackrel{x_2}{-3}~,~\stackrel{y_2}{6}) ~\hfill BA=√((~~ -3- 3~~)^2 + (~~ 6- 2~~)^2) \\\\\\ ~\hfill BA=√(( -6)^2 + (4)^2)\implies BA=√(52) \\\\[-0.35em] ~\dotfill\\\\ 4 + 6 + √(52) ~~ \approx ~~ 10 + 7.2 ~~ \approx ~~ \stackrel{Perimeter}{19.2}`