document.write( "Question 1132585: Given △ABC. m∠A>m∠B>m∠C. Perimeter of ABC=30. Which one of the three sides may have length 7?
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Algebra.Com's Answer #749665 by ikleyn(53765) $\"\"$ $\"About$

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document.write( "Notice that the given triangle is a scalene triangle: it has no congruent sides.\r\n" );
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document.write( "Since 3 times 7 is 21, the side of the length 7 can not be longest.\r\n" );
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document.write( "If the side of the length 7 is the middle length side, then there is the shorter side; \r\n" );
document.write( "but then the third side has the length greater than 30-2*7 = 16.\r\n" );
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document.write( "It contradicts to the triangle inequality.\r\n" );
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document.write( "Thus the side of the length 7 is with necessity the shortest side of the triangle.\r\n" );
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document.write( "In any triangle, the shortest side is opposite to the smallest angle.\r\n" );
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document.write( "Hence, the side of the length 7 in the given triangle is opposite to the angle C.\r\n" );
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