SOLUTION: Hello I am having a bit of trouble solving this problem and I could use your expertise.Please explain how you got your answer so I can gain a better understanding how to solve thes

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Question 328071: Hello I am having a bit of trouble solving this problem and I could use your expertise.Please explain how you got your answer so I can gain a better understanding how to solve these types of problems. Thank you.
Determine whether the triple of numbers can be the sides of a right triangle.
√2 √3 √10
A) Yes
B) No

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
If this is a right triangle, then a%5E2%2Bb%5E2=c%5E2
In this case, if this is a right triangle, then you must have
%28sqrt%282%29%29%5E2+%2B%28sqrt%283%29%29%5E2=%28sqrt%2810%29%29%5E2
2+3 DOES NOT EQUAL 10

It is NOT a right triangle!!

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus