Find measures of side of trangle?

Question

Find the measures of the sides of k(-3,0) p(2,1) l(-2,-3)

Answer 1

An easy way to "see" this problem is to plot (draw) these 3 points on a Cartesian graph, or simple square grid.

After this is done, it is easy to see these distances as the hypotenuses of three right triangles.

IMPORTANT: indicate the graph origin first.

The sides of the triangle described by these points become:

1. SQR(1² + 5²) = SQR(26) = 5.1;
2. SQR(1² + 3²) = SQR(10) = 3.2;
3. SQR(4² + 4²) = SQR(32) = 5.7