# 3 points on a straight line!

Geometry Level 3

The above shows two squares $$ABCD$$ and $$EFGH$$ with side lengths 10 and 6, respectively. Given that $$A,E,F$$ and $$B$$ lies on a straight line. And the straight line $$AE$$ has a distance of 1.

If $$\vec{AI} = \beta \vec{EI}$$, what is the value of $$\beta$$?

×