Find the perimeter RST. Round answer to the nearest tenth. Show all the work !!!

Given:

The figure of a triangle RST on a coordinate plane.

To find:

The perimeter of the triangle RST.

Solution:

From the given graph it is clear that the vertices of the given triangle are R(-2,7), S(-5,1) and T(-7,-5).

Distance formula:

Using the distance formula, we get

on further simplification, we get

Similarly,

Now, the perimeter of the triangle RST is

Therefore, the perimeter of the triangle RST is 26.0 units.