Question

Determine if DE is parallel to AC. Show all your work!!!

24
40
E
22.5
D
15
B

Answer 1

Explanation:

We will prove the converse of the postulate,

"If a line parallel to one side of a triangle and it intersects other two sides of the triangle, then the line will divide both the sides in the same ratio"

Segment DE intersects AB and BC at D and E respectively,

Ratio of the segments of two sides,

`(AD)/(DB)=(CE)/(EB)`

`(22.5)/(15)=(24)/(40-24)`

1.5 = 1.5

True.

Therefore, lines AC and DE are parallel.