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?

Algebra ->  Triangles -> 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?      Log On


   

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(52775) About Me  (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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sqrt%28130%29 = 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 6%5E2+%2B+%28sqrt%28130%29%29%5E2 = 36%2B130 = 166 is less than 13%5E2 = 169.

It means that the given triangle is acute.