SOLUTION: What type of triangle (right, obtuse, acute) would the side lengths 6, 13, and the square root of 130 make? Or does it even make a triangle?

Question 1052435: What type of triangle (right, obtuse, acute) would the side lengths 6, 13, and the square root of 130 make? Or does it even make a triangle?
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
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What type of triangle (right, obtuse, acute) would the side lengths 6, 13, and the square root of 130 make? Or does it even make a triangle?
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 = 11.4 (approximately).


So, it is between 6 and 13, of course.


You can check that all three "triangle inequalities" for the side lengths of a triangle are in place,
so the triangle does exist with these side lengths.


The 13 units side is longest.
And  =  =  is less than  = 169.

It means that the given triangle is acute.

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