Question

Which expression can be used to determine the length of segment ZY?

5
4
O 8² +3²
O√8²+3²
08²-3²
3
2
-5-4-3-2-1
-2
3
4
-5
5

Answer 1

`YZ = \sqrt{ (3)^2+(8)^2`

We can see that XYZ is forming right angled triangle in the given figure where XY is Perpendicular.

XZ is Base.

YZ is Hypotenuse .

Length of XY is 3 units (refer figure)

Length of XZ is 8 units (refer figure)

Now to calculate length of ZY we will use Pythagoras theorem i.e.

`(Hypotenuse) ^2 = (Perpendicular)^2 + (Base)^2`

`(YZ)^2=(XY)^2+(XZ)^2`

`(YZ)^2 = (3)^2+(8)^2`

⇒
`YZ = \sqrt{ (3)^2+(8)^2`