Question

Theorem: A line parallel to one side of a triangle divides the other two proportionately.

In the figure below, segment DE is parallel to segment BC and segment EF is parallel to AB:Which statement can be proved true using the given theorem?

Segment BD = 32
Segment BD = 36
Segment BF = 15
Segment BF = 18

Answer 1

@paki

Answer 2

can you help me pls

Answer 3

We need to check out these two equations which come from the theorem and see which one gives an answer in the options.

Answer 4

16/x = 24/36 where x = BD

and

36/24 = 27/y where y = BF

Answer 5

16/x = 24/36 gives BD to be 24

Answer 6

ok

Answer 7

36/24 = 27/y gives BF = 18

Answer 8

so bf = 18 is our answer right?

Answer 9

Yes. I don't see any other equations that could be written and solved using the given info.

Answer 10

thank you very much

Answer 11

You are welcome.