Posted by Kaley on .
What is the ratio of the area of triangle XBY to the area of triangle ABC for the given measurements, if XY is similar to AC?

Geometry 
Kaley,
BY=3, YC=2

Geometry 
Reiny,
the ratio of area is proportional to the square of the sides
which would be 3^2/2^2 = 9/4
or as a ratio 9 : 4 
Geometry 
Kaley,
i don't seem to understand the concept

Geometry 
Reiny,
Area1/Area2 = (side1)^2/(side2)^2

Geometry 
kaley,
so 4/9 ?

Geometry 
Reiny,
yes, I had 9/4 since you gave your sides as 3 and 2
Obviously the bigger area goes with the bigger side.
I am sure you can now do the others that are similar to this