SOLUTION: Please help me answer this question: Tell whether a triangle with side lengths 11, 5, and sqrt(146) is a right triangle. Explain why or why not?
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Question 695266: Please help me answer this question: Tell whether a triangle with side lengths 11, 5, and sqrt(146) is a right triangle. Explain why or why not?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If it is a right triangle, then the hypotenuse must be the longest side. If 
and 
are the two shorter sides and the longest side is 
and then if 
then the triangle is right.
So figure out which of 11, 5, and 
is the largest number, then calculate 
where and are the two short sides. If the result is 146, then the triangle is right, otherwise not.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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