Answer:
YZ = 12
Step-by-step explanation:
From the question given above, the following data were obtained:
Length of XZ = 13
Lenght of XY = 5
Lenght of YZ =?
The length of YZ can be obtained by using pythagoras theory since the figure is a right angle triangle. This can be obtained as follow:
XZ² = XY² + YZ²
13² = 5² + YZ²
169 = 25 + YZ²
Collect like terms
169 – 25 = YZ²
144 = YZ²
Take the square root of both side.
YZ = √144
YZ = 12
Therefore, the length of YZ is 12