document.write( "Question 423008: how do i find out if the 3 side lengths are given if it's a right, acute or obtuse triangle? \n" ); document.write( "

Algebra.Com's Answer #295145 by jim_thompson5910(35256) $\"\"$ $\"About$

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Use a corollary of the converse of the pythagorean theorem, found here. \r
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\n" ); document.write( "\n" ); document.write( "This is what the corollary states:\r
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\n" ); document.write( "\n" ); document.write( "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]\r
\n" ); document.write( "\n" ); document.write( " * If a^2 + b^2 = c^2, then the triangle is right.
\n" ); document.write( " * If a^2 + b^2 > c^2, then the triangle is acute.
\n" ); document.write( " * If a^2 + b^2 < c^2, then the triangle is obtuse\r
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\n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
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