Question #23ae3

1 Answer
kxoraxe
Nov 6, 2017

about 42.7903455

Explanation:

#A=(-9, -6)#
#B=(-5, 0)#
#C=(10,-7)#

Find the length of line segments #bar(AB)#, #bar(BC)#, and #bar(AC)#

#d_(AB)#
#=sqrt((x_2-x_1)^2+(y_2-y_1)^2)#
#=sqrt(((-5)-(-9))^2+((0)-(-6))^2)#
#=sqrt((4)^2+(6)^2)#
#=sqrt(16+36)#
#=sqrt(52)#
etc.

#d_(AB)=sqrt(52)#
#d_(BC)=sqrt(274)#
#d_(AC)=sqrt(362)#
Total #=sqrt(52)+sqrt(274)+sqrt(362)~~42.7903455#

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