Question

Find the ratio of the area of triangle XBY to the area of triangle ABC for the given measurements, if XYl l AC

XY = 2, AC = 3

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Answer 1

There are theoremas for similar triangles:

http://www.cliffsnotes.com/study_guide/Similar-Triangles-Perimeters-and-Areas.topicArticleId-18851,articleId-18815.html

So according to that, if 1st triangle is XYB and 2nd triangle is ABC, the scale factor of these similar triangles is 2 : 3. So \[Area(XYB)/Area(ABC)=2^2/3^2=4/9\]