Mathematics

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
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

2 Answer

  • 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.

  • Answer:

    C) 5

    Step-by-step explanation:

    i just took the quiz on edge

NEWS TODAY