Could someone please help me figure out where to start to get the answer to this?
use the distance formula to find the length of the sides. then just add them together.
recall, the distance formula, that is, in this case, the formula for the length of a line is:
$\displaystyle d = \sqrt {(x_2 - x_1)^2 + (y_2 - y_1)^2}$
do you think you can continue now?
hmmm. i got 25.502. i'm not sure how you managed to get that.
triangle DEF has three sides: DE, EF and DF.
we have: $\displaystyle D(-4,6) \mbox { , } E(5,3) \mbox { , } F(3,-2)$
So, the length of DE is:
$\displaystyle DE = \sqrt {(5 - (-4))^2 + (3 - 6)^2} = \sqrt {90}$
the length of EF is:
$\displaystyle EF = \sqrt {(3 - 5)^2 + (-2 - 3)^2} = \sqrt {29}$
the length of DF is:
$\displaystyle DF = \sqrt {(3 - (-4))^2 + (-2 - 6)^2} = \sqrt {113}$
The perimeter is the length of all the sides, therefore
Perimeter $\displaystyle = \sqrt {90} + \sqrt {29} + \sqrt {113} \approx 25.502$