Question
In the figure above, , and are parallel. Points B and E lie on and , respectively. If AB = 9 , BC = 18.5 , and FE = 8.5, what is the length of to the nearest tenth?
- 16.8
- 17.5
- 18.4
- 19.6
The correct answer is: 17.5
HINT :- we know that the line intersecting the non parallel side trapezium and is parallel to the parallel sides of trapezium then it divides the non parallel side in the same ratio. Using this we find ratio and find the length of ED .
Given , AB = 9 ,BC = 18.5 and FE = 8.5
The line intersecting the non parallel side trapezium and is parallel to the parallel sides of trapezium then it divides the non parallel side in the same ratio. As AF , BE and CD are parallel. Let the be the line intersecting non parallel sides of trapezium ACDF .
Then, We get
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