What is the length of the longest side of a triangle that has the vertices (-5, 6), (-5, -2), and (1, -2)?

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asked Jun 2, 2019 120k views

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What is the length of the longest side of a triangle that has the vertices (-5, 6), (-5, -2), and (1, -2)?

Mathematics
high-school

Mike Marshall asked

by Mike Marshall

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1 Answer

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check the picture below.

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -5 &,& 6~) % (c,d) &&(~ 1 &,& -2~) \end{array}~~~ % distance value d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√([1-6]^2+[-2-(-5)]^2)\implies d=√((1-6)^2+(-2+5)^2) \\\\\\ d=√((-5)^2+3^2)\implies d=√(25+9)\implies d=√(34)$