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:

the figure shows triangle abc with segments de and df. point d is on side ab, point e is on side ac and point f is on side bc. segment ad is 12, segment ae is 15, segment ec is 25, and segment fc is 30.

which statement can be proved true using the given theorem?

segment bf = 9
segment bd = 18
segment bd = 20
segment bf = 24

Option " Segment BD = 20 " is correct

Step-by-step explanation:

Consider figure (i)

Given :

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

In , , so as per the theorem : " A line parallel to one side of a triangle divides the other two proportionately ", we get

Also, as , so as per the theorem : " A line parallel to one side of a triangle divides the other two proportionately " , we get

Therefore, option " Segment BD = 20 " is correct .

exactly you go it

step-by-step explanation:

57.09 minus 7.0435 equals

step-by-step explanation:

just subtrach them both and u get the answer of 50.0465