If you know that AC=3,AB=4,XY=1,then what is XW=?
WXYZ and ABCD are rectangulars
I'm going to call length , length and .
From the smallest triangles, we can see that by Pythagoras.
We can also see from the larger triangles that
Now note that the area of the largest rectangle is . If we evaluate the area of each smaller piece, we find
Substituting , (since we know ) will enable solving for , which will enable solving for , and finally solving for .
See how you go.