1. Dec 11, 2013

ThienNguyen

1. The problem statement, all variables and given/known data

In Rectangle ABCD, AB=4 and BC=3. Find the side length of Rhombus AXYZ, where X is on AB, Y is on BC and Z is on BD.

2. Relevant Questions:

3. The attempt at a solution

Hi, so here's my picture for the problem...I tried to draw the exact picture with exact value of the problem (using rulers, compass, etc.)
I was able to find a pair of similar triangles and figured out that: YZ = (4/3)BY
I didn't get really far after that...

2. Dec 11, 2013

ehild

YZ = (4/3)BY is correct. Use the other property of the rhombus, that all sides are of equal length.

ehild

3. Jan 29, 2017

ET ag

is a rhombus implies . In by similarity we get

And then we get . Thus, we result in the equation .

Sorry if the LaTeX or images I put in my reply don't come out properly

ET ag