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Three squares are placed next to each other as shown. The vertices A, B, and C are collinear. Find the dimension n. Replace the lengths 4 and 7 by m and k, respectively. Express k in terms of m and n.

Answer :

[tex] \frac{k-m}{m} = \frac{n-k}{k} \\ \\k^2-mk=mn-mk \\k^2=mn \\k= \sqrt{mn} \\[/tex]

[tex]7^2=4n \\ \\n= \frac{49}{4} [/tex]
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