Question

Find EF in the trapezoid ? What is EF= equal too

Answer 1

|EF|=18

Explanation:

Using the mid-segment theorem of a trapezoid,
`|EF|=(1)/(2)(|AD|+|BC|)`

We substitute the expressions for the sides and solve for x.

`4x+6=(1)/(2)(6+9x+4)`

This implies that:

`4x+6=(1)/(2)(9x+9)`

Multiply through by 2 to get:

`8x+12=9x+9`

Group and combine like terms to get:

`12-9=9x-8x`

`x=3`

`|EF|=4(3)+6=18`