Question #23ae3

1 Answer
Nov 6, 2017

about 42.7903455

Explanation:

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

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

d_(AB)dAB
=sqrt((x_2-x_1)^2+(y_2-y_1)^2)=(x2x1)2+(y2y1)2
=sqrt(((-5)-(-9))^2+((0)-(-6))^2)=((5)(9))2+((0)(6))2
=sqrt((4)^2+(6)^2)=(4)2+(6)2
=sqrt(16+36)=16+36
=sqrt(52)=52
etc.

d_(AB)=sqrt(52)dAB=52
d_(BC)=sqrt(274)dBC=274
d_(AC)=sqrt(362)dAC=362
Total =sqrt(52)+sqrt(274)+sqrt(362)~~42.7903455=52+274+36242.7903455