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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