document.write( "Question 588447: what kinda triangle has side lengths of 6, 8, and 9?
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Algebra.Com's Answer #374521 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "To find out, we compare the triangle to a right triangle\r\n" );
document.write( "whose legs are the same lengths as the two shorter sides.\r\n" );
document.write( "We calculate its hypotenuse.  \r\n" );
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document.write( "If the hypotenuse is longer than the longest side, the triangle is acute.\r\n" );
document.write( "If the hypotenuse is shorter than the longest side, the triangle is obtuse.\r\n" );
document.write( "[If the hypotenuse is the same length as the longest side, the triangle is that\r\n" );
document.write( "very right triangle.]\r\n" );
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document.write( "For a given triangle vith side lengths 6, 8, and 9, we find the hypotenuse \r\n" );
document.write( "of a right triangle with legs of length 6 and 8.\r\n" );
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document.write( "c² = a² + b²\r\n" );
document.write( "c² = 6² + 8²\r\n" );
document.write( "c² = 36 + 64\r\n" );
document.write( "c² = 100\r\n" );
document.write( "c = \r\n" );
document.write( "c = 10\r\n" );
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document.write( "Since the hypotenuse c=10 is longer than the third side of the give triangle,\r\n" );
document.write( "9, the given triangle is acute.\r\n" );
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document.write( "Let's draw it to scale and see how it looks:\r\n" );
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document.write( "Sure looks acute to me!\r\n" );
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document.write( "Edwin

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