\r\n" );
document.write( "Let's draw it:\r\n" );
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document.write( "
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document.write( "Looks like ∠A is an obtuse angle, making ᐃABC an obtuse triangle.\r\n" );
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document.write( "But your geometry teacher will not accept \"draw it, look at it \r\n" );
document.write( "and see\", even though that is more convincing than the Pythagorean\r\n" );
document.write( "theorem! lol\r\n" );
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document.write( "So we test it to see if ᐃABC is a right triangle. If\r\n" );
document.write( "it is then the LONGEST side BC, will be the hypotenuse,\r\n" );
document.write( "and ∠A, across from it, will be a right angle.\r\n" );
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document.write( "So we calculate the hypotenuse of a right triangle whose legs\r\n" );
document.write( "are 3 and 8, and see if we get 10.\r\n" );
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document.write( "c² = a² + b²\r\n" );
document.write( "c² = 3² + 8²\r\n" );
document.write( "c² = 9 + 64\r\n" );
document.write( "c² = 73\r\n" );
document.write( "c = √73\r\n" );
document.write( "c = 8.544, approximately.\r\n" );
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document.write( "So ᐃABC is not a right triangle, and since 10 is greater than\r\n" );
document.write( "8.544, that means that ∠A has to open wider than 90°,\r\n" );
document.write( "which makes it an obtuse angle, and therefore ᐃABC is obtuse.\r\n" );
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document.write( "[Note: If it had turned out that c had been greater than the\r\n" );
document.write( "longest side, the angle would not have opened as wide as 90°,\r\n" );
document.write( "and it would have been acute. And if it had turned out to be\r\n" );
document.write( "the same, it would have been a right angle. Neither of those\r\n" );
document.write( "were the case here, but in other problems they might be.]\r\n" );
document.write( "\r\n" );
document.write( "Edwin
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document.write( "![\"\"](\"/images/stars/stars-13.gif\")
