Answer:
x = 3
YZ = 5
XZ = 10
Explanation:
From the figure, the distance between XY = YZ.
In other words, Y is the mid-point of the line segment XZ.
We are given XY = 2x - 1.
Also, XZ = 2(3x - 4) = 6x - 8
Since, XY + YZ = XZ
⇒ 2x - 1 + YZ = 6x - 8
⇒ YZ = 6x - 8 - 2x + 1
⇒ YZ = 4x - 7
Also, since XY = YZ we have:
2x - 1 = 4x - 7
Solving this we arrive at the value of 'x'.
⇒ 2x = 6
⇒ x = 3
Substituting the value of x in YZ we get, YZ = 4(3) - 7
= 12 - 7 = 5
∴ YZ = 5
Similarly, XZ = 6(3) - 8 = 18 - 8 = 10
∴ XZ = 10