Question

Please help with this

Answer 1

`VWX\cong KLJ` means that the triangles are congruent, that is exactly identical.

The order of letters is very important. Form the given congruence we can write the following ratio:


`(VW)/(KL) = (WX)/(LJ) = (VX)/(KJ) =1`

(notice that we do not mix the order: the first 2 letters of VWX are compared to the first 2 letters of KLJ and so on)

the ratio is one because the corresponding sides are equal.


`(VW)/(KL)=1\\\\ (2z-1)/(z+2)=1\\\\2z-1=z+2\\\\2z-z=2+1\\\\z=3`


`|VW|=2z-1=2.3-1=6-1=5`


Answer: 5 units