document.write( "Question 1210542: All the sides of a triangle have integer length. The perimeter of the triangle is 10, and the triangle is scalene. How many such non-congruent triangles are there? \n" ); document.write( "

Algebra.Com's Answer #853553 by greenestamps(13305) $\"\"$ $\"About$

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\n" ); document.write( "There are no such triangles.

\n" ); document.write( "Here is a list of all the combinations of three positive integers with a sum of 10:

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document.write( "1, 1, 8   does not make a triangle\r\n" );
document.write( "1, 2, 7   does not make a triangle\r\n" );
document.write( "1, 3, 6   does not make a triangle\r\n" );
document.write( "1, 4, 5   does not make a triangle\r\n" );
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document.write( "2, 2, 6   does not make a triangle\r\n" );
document.write( "2, 3, 5   does not make a triangle\r\n" );
document.write( "2, 4, 4   the triangle is not scalene\r\n" );
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document.write( "3, 3, 4   the triangle is not scalene

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