- #1

zaldar

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## Homework Statement

You have a parallelogram ABCD. You know one side has a length of 12. They have given a right triangle extended from one side of the parallelogram height 4 and base 2 hypotenuse is the side of the parallelogram. There is a diagonal that goes from A to C that they want you to find the length of. (the right triangle is off of the DC side of the parallelogram so I can't see a way to use the Pythagorean theorem here) Direct link to the pdf with the problems

http://www.ets.org/Media/Tests/GRE/pdf/GREmathPractice.pdf"

## Homework Equations

The Pythagorean theorem and the area of a triangle (1/2 base times height) are all I can see as being useful here. May be others though that I don't see.

## The Attempt at a Solution

The 4 2 right triangle can be used to find the length of the other side of the parallelogram which turns out to be 2[itex]\sqrt{5}[/itex] If this was a rectangle then since the diagonals would be equal this would be easy. Tried also using the area of the parallelogram and the fact that the diagonal makes two similar triangles but that only gives you the length of the side of the parallelogram you all ready know. At a loss now...any help very much appreciated!

Thanks very very much! Any location for geometry problems for more practice (this type especially) would be great. Have a geometry book that I have worked through but it didn't have anything like this.

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