Question

Solve for x. Enter you answer in the box.

Answer 1

x = 6

Explanation:

AD is a midline segment and divides EB and EC in the same proportion, that is

`(EA)/(AB)` =
`(ED)/(DC)`

Substituting in values gives

`(16)/(x+2)` =
`(12)/(24)` =
`(1)/(2)` ( cross- multiply )

5x + 2 = 32 ( subtract 2 from both sides )

5x = 30 ( divide both sides by 5 )

x = 6