Given the lengths of sides XY and XZ as shown in triangle XYZ below, what is the length of side YZ? a. 5√13

b. 12

c. √194

d. 18

e. 5√5

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