Posted by Kaley on Monday, May 17, 2010 at 9:51pm.
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, Monday, May 17, 2010 at 9:53pm
BY=3, YC=2

Geometry  Reiny, Monday, May 17, 2010 at 9:55pm
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, Monday, May 17, 2010 at 10:29pm
i don't seem to understand the concept

Geometry  Reiny, Monday, May 17, 2010 at 10:36pm
Area1/Area2 = (side1)^2/(side2)^2

Geometry  kaley, Monday, May 17, 2010 at 10:50pm
so 4/9 ?

Geometry  Reiny, Monday, May 17, 2010 at 11:05pm
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
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