Find the perimeter of the triangle with vertices d (-2,-1), e (3,2), and f(0,4). do not round before calculating the perimeter. after calculating the perimeter, round your answer to the nearest tenth.

We first draw the triangle in the coordinate axis, as shown in the picture.

We then circumscribe a rectangle (in fact a square) to this triangle, and we notice that each of the sides is the hypotenuse of a right triangle:

this triangles, as can be seen from the picture, have sides of length:

{5, 3}, {2, 3}, and {5, 2}. 

By the pythagorean theorem, the sum of these three hypotenuses is:



14.8 (units)