document.write( "Question 358225: The lengths of the sides of a triangle are 3t,5t-12, and t plus 20.\r
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Algebra.Com's Answer #255659 by Edwin McCravy(20063)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "3t,5t-12, and t+20\r\n" );
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document.write( "The triangle will be isosceles if any two of these are equal, and\r\n" );
document.write( "the resulting sides form a triangle.\r\n" );
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document.write( "Try \r\n" );
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document.write( " 3t = 5t-12\r\n" );
document.write( "-2t = -12\r\n" );
document.write( "  t = 6\r\n" );
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document.write( "Then the sides would be\r\n" );
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document.write( "3t = 3(6) = 18\r\n" );
document.write( "5t-12 = 5(6)-12 = 18\r\n" );
document.write( "t + 20 = 26\r\n" );
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document.write( "That's a possible isosceles triangle because the sum of any \r\n" );
document.write( "two sides is greater than the third side, and two of the sides\r\n" );
document.write( "are equal in length.\r\n" );
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document.write( "Try \r\n" );
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document.write( "  3t = t + 20 \r\n" );
document.write( "  2t = 20\r\n" );
document.write( "   t = 10\r\n" );
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document.write( "Then the sides would be\r\n" );
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document.write( "3t = 3(10) = 30\r\n" );
document.write( "5t-12 = 5(10)-12 = 50-12 = 38  \r\n" );
document.write( "t+20 = 10+20 = 30    \r\n" );
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document.write( "That's a possible isosceles triangle because the sum of any \r\n" );
document.write( "two sides is greater than the third side, and two of the sides\r\n" );
document.write( "are equal in length.\r\n" );
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document.write( "Try \r\n" );
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document.write( "  5t - 12 = t + 20 \r\n" );
document.write( "       4t = 32\r\n" );
document.write( "        t = 8\r\n" );
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document.write( "Then the sides would be\r\n" );
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document.write( "3t = 3(8) = 24\r\n" );
document.write( "5t-12 = 5(8)-12 = 40-12 = 28  \r\n" );
document.write( "t+20 = 8+20 = 28    \r\n" );
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document.write( "That's a possible isosceles triangle because the sum of any \r\n" );
document.write( "two sides is greater than the third side, and two of the sides\r\n" );
document.write( "are equal in length.\r\n" );
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document.write( "----\r\n" );
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document.write( "These are the only possible isosceles triangles.  Since an equilateral\r\n" );
document.write( "triangle is isosceles and none of these possibilities were equilateral\r\n" );
document.write( "there are no equilateral triangles possible.\r\n" );
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document.write( "Edwin

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