# SOLUTION: how do i find out if the 3 side lengths are given if it's a right, acute or obtuse triangle?

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 Geometry: Triangles Solvers Lessons Answers archive Quiz In Depth

 Question 423008: how do i find out if the 3 side lengths are given if it's a right, acute or obtuse triangle?Answer by jim_thompson5910(28593)   (Show Source): You can put this solution on YOUR website!Use a corollary of the converse of the pythagorean theorem, found here. This is what the corollary states: A corollary of the Pythagorean theorem's converse is a simple means of determining whether a triangle is right, obtuse, or acute, as follows. Where c is chosen to be the longest of the three sides and a + b > c (otherwise there is no triangle according to the triangle inequality). The following statements apply:[28] * If a^2 + b^2 = c^2, then the triangle is right. * If a^2 + b^2 > c^2, then the triangle is acute. * If a^2 + b^2 < c^2, then the triangle is obtuse If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim