Question

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

A. 3
B. 4
C. 5
D. 6

Answer 1

C) 5

Explanation:

i just took the quiz on edge

Answer 2

(C)5

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=√((-1+1)^2+(2+3)^2)`

`YZ=√(0+25)`

`YZ=5`

Therefore, the length of the YZ is 5.