document.write( "Question 65860: 
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document.write( "Hi, I'm having a difficult time figuring this problem \r\n" );
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\n" ); document.write( "\n" ); document.write( "Find the longest and shortest line segment drawn in
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Algebra.Com's Answer #46629 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Hi, I'm having a difficult time figuring this problem \r\n" );
document.write( "out. THANKS FOR HELPING!!\r\n" );
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document.write( "Find the longest and shortest line segment drawn in\r\n" );
document.write( "the following diagram.\r\n" );
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document.write( "The sides of a triangle are always in the same order \r\n" );
document.write( "of size as the angles opposite them:\r\n" );
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document.write( "First we calculate the two angles we aren't given by \r\n" );
document.write( "using the fact that the three angles of any triangle \r\n" );
document.write( "must always have sum 180°\r\n" );
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document.write( " ÐG + ÐEIG + ÐGEI = 180°\r\n" );
document.write( " 25° + ÐEIG + 62° = 180°\r\n" );
document.write( "       87° + ÐEIG = 180°\r\n" );
document.write( "             ÐEIG = 93°\r\n" );
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document.write( " ÐV + ÐEIV + ÐIEV = 180°\r\n" );
document.write( "100° +  37° + ÐIEV = 180°\r\n" );
document.write( "      137° + ÐIEV = 180°\r\n" );
document.write( "             ÐIEV = 43° \r\n" );
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document.write( "In DEGI, ÐG < ÐGEI < ÐEIG, so their opposite sides\r\n" );
document.write( "are respectively in the same order:\r\n" );
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document.write( " EI < GI < EG\r\n" );
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document.write( "In DEIV, ÐEIV < ÐIEV < ÐV, so their opposite sides\r\n" );
document.write( "are respectively in the same order:\r\n" );
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document.write( " EV < IV < EI\r\n" );
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document.write( "So we can put those two inequalities together, and\r\n" );
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document.write( " EV < IV < EI < GI < EG\r\n" );
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document.write( "Therefore EV is the shortest side and EG is the \r\n" );
document.write( "longest side.\r\n" );
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document.write( "Edwin
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