SOLUTION: Tutor, Could you please check my answer and let me know if I have this answer correct? Find length x in each triangle. Express your answer in simplified radical form.

Algebra ->  Square-cubic-other-roots -> SOLUTION: Tutor, Could you please check my answer and let me know if I have this answer correct? Find length x in each triangle. Express your answer in simplified radical form.       Log On


   

Question 101671: Tutor,
Could you please check my answer and let me know if I have this answer correct?
Find length x in each triangle. Express your answer in simplified radical form.
longest side is 12, next side is x and botton and smallest side is 8
I got x = sqrt of 80
That seems off to me I am not sure I solved this correctly so I would appreciate your help.
Thank you very much for your help.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Almost!
H%5E2=L%5E2%2BW%5E2
12%5E2=L%5E2%2B8%5E2
144-64=L%5E2
L%5E2+=+80
L=sqrt%2880%29=sqrt%284%5E2%2A5%29
L=4sqrt%285%29
Your process was correct, it was the "simplified" radical that was incomplete.