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Find the length of the length of the altitude drawn to the hypotenuse. The traingle is not drawn to scale

Mathematics
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|dw:1348500612718:dw|
is that the only given to the problem?
yes

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is it not stated that the triangle is 30-60-90?? i can't solved it because of lack of information
owh.. yes.. there is an answer.. sorry
|dw:1348501718990:dw| Using pythagoras theorem for the triangle ABC \(x^2+y^2={31}^2\) Using pythagoras theorem for the triangle ABD \(x^2=5^2+z^2\)-(1) Using pythagoras theorem for the triangle BDC \(y^2=z^2+{26}^2\)-(2) Nw add (1) and (2). then u will get (1)+(2)=>\(x^2+y^2=5^2+z^2+z^2+{26}^2\) \({31}^2=5^2+z^2+z^2+{26}^2\) \(961=25+2z^2+676\) Find z. Can u do?
31/x = x/5 x^2 = 155 x= root155 is it?? i think i forgot how to answer that.. sorry
http://www.cliffsnotes.com/study_guide/Altitude-to-the-Hypotenuse.topicArticleId-18851,articleId-18818.html maybe this might help
|dw:1348502429096:dw|

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