SOLUTION: PLEASE PLEASE HELP!.... find the value of x,y, and z reduced to simplest radical form. . i have tryed this problem so many times i just cant seem to get it! heres a PICTURE

Algebra ->  Triangles -> SOLUTION: PLEASE PLEASE HELP!.... find the value of x,y, and z reduced to simplest radical form. . i have tryed this problem so many times i just cant seem to get it! heres a PICTURE      Log On


   

Question 390570: PLEASE PLEASE HELP!.... find the value of x,y, and z reduced to simplest radical form.
. i have tryed this problem so many times i just cant seem to get it!


heres a PICTURE
http://i1189.photobucket.com/albums/z426/cwallace2/Casey.jpg
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
y%5E2+=+x%5E2+%2B+16 Eqn 1
y%5E2+%2B+z%5E2+=+36 Eqn 2
Sub for y^2 in the 2nd eqn
x%5E2+%2B+16+%2B+z%5E2+=+36
x%5E2+%2B+z%5E2+=+20 Eqn A
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z%5E2+=+x%5E2+%2B+4
Sub z^2 in eqn A
x%5E2+%2B+%28x%5E2%2B4%29+%2B+20
2x%5E2+=+16
x+=+2sqrt%282%29
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y%5E2+=+x%5E2+%2B+16 Eqn 1
y%5E2+=+8+%2B+16
y+=+2sqrt%286%29
-------------------
y%5E2+%2B+z%5E2+=+36 Eqn 2
24+%2B+z%5E2+=+36
z+=+2sqrt%283%29