Question

If Z represents the third vertex in the triangle and is located in the second quadrant, what is the length of YZ?

Answer 1

Answer:

C) 5

Step-by-step explanation:

i just took the quiz on edge

Answer 2

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:

$YZ=\sqrt{(-1+1)^2+(2+3)^2}$

$YZ=\sqrt{0+25}$

$YZ=5$

Therefore, the length of the YZ is 5.