# The diagram below shows five squares of respective side lengths 1, 1, 2, 3 and 5. The centres A, B and C of three of the squares lie on a straight line. What is the ratio of the length BC to the length AB?

Apr 25, 2017

$B C : A B = 1 : 2$

#### Explanation:

As can be seen in the figure, $\frac{B C}{1.5} = \frac{A B}{3}$

$\implies B C = \frac{1}{2} A B$

$\implies B C : A B = 1 : 2$