Question

Which is the value of x would make LK||OM

Answer 1

X=8 the correct answer is

D

Answer 2

The side splitter theorem exists as a ratio. In our case,
`(NK)/(KM) = (NL)/(LO)`. Filling it in with segment lengths, we have
`(x+2)/(x-3)= (x)/(x-4)`. Cross multiplying gives us
`x^(2) -2x-8= x^(2) -3x`. When we manipulate that equation the squared terms are eliminated, which is nice, leaving us with x-8=0 or x = 8