# 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.