Question

Question #23ae3

Answer 1

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`