Question

In the figure below, the segment is parallel to one side of the triangle.

Which of the following is not a true statement?



12/x = 10/15
12/x = y/20
10/25 = y/20

Answer 1

12/x = y/20

(i got it right on my assignment!! ;D )

Answer 2

Hence, the incorrect statement is: 12/x = y/20

Explanation:

In the figure we are given that the segment is parallel to one side of the triangle.

Triangle Proportionality Theorem:

If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally.

so we can say that:

12/x = 10/15

Also by the corollary of Proportionality theorem(figure is attached to the answer) we can say that:

`(a)/(a+b)=(c)/(c+d)=(f)/(e)`

Hence for the given ques we could say that:

10/25 = y/20

Hence, the incorrect statement among the three given statement is:

12/x = y/20