Question #23ae3

1 Answer
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