Step by step solution:
The hypotenuse is the longest side of a right triangle. From the figure, we have formed a right triangle by adding a third point, the one that remains red. So a right triangle is the one that has a side of 90 degrees. The point that allows to have a 90 degrees side is (-1, -1). Therefore, the hypotenuse can be found by using the two points (-4, -1) and (-1, 2) and computing the distance by using the distance formula as follows:
[tex]H=\sqrt{[-4-(-1)]^2+[(-1-2)]^2}=3\sqrt{2}=4.24[/tex]
