Answer:
(C)5
Step-by-step explanation:
From the given graph, we can determine the coordinates of the X an Y.
These are:
X(-4,2) and Y(-1,-3)
Since, XY is the hypotenuse, then At point Z, the angle will be 90° and thus, XZ is the altitude.
Join, YZ such that the coordinates of Z is (-1,2).
Then, the length of the segment YZ will be:
[tex]YZ=\sqrt{(-1+1)^2+(2+3)^2}[/tex]
[tex]YZ=\sqrt{0+25}[/tex]
[tex]YZ=5[/tex]
Therefore, the length of the YZ is 5.
