# A geometry problem by Matheus Yuzawa

Geometry Level 4

Consider a right triangle ABC with a 90° angle in A. Be AE and AD the height and the median relative to the hypotenuse BC, respectively. If the median BE measure is $(\sqrt{2} - 1)$ cm and AD measure is 1cm, what's the measure of AC?

(This problem was taken from ITA-Brazil 2013-2014 entrance exam)

This question is flagged because it is unclear what point $$E$$ is meant to be.

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