document.write( "Question 815953: What is the smallest possible integer perimeter of a triangle which has sides 5 and 10? \n" ); document.write( "
Algebra.Com's Answer #491298 by jim_thompson5910(35256)\"\" \"About 
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The third side must be larger than 10-5 = 5 units. \r
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\n" ); document.write( "\n" ); document.write( "Let x be the third unknown side. So if the third side must be larger than 5 units, then we can say x > 5.\r
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\n" ); document.write( "\n" ); document.write( "The perimeter of the triangle is\r
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\n" ); document.write( "\n" ); document.write( "P = s1 + s2 + s3\r
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\n" ); document.write( "\n" ); document.write( "P = 5+10+x\r
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\n" ); document.write( "\n" ); document.write( "P = 15+x\r
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\n" ); document.write( "\n" ); document.write( "Now if x > 5, then this means that 15+x > 20 (add 15 to both sides of the original inequality)\r
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\n" ); document.write( "\n" ); document.write( "So the perimeter must be larger than 20 units. If the perimeter is an integer (or whole number), then the smallest it can be is 21 units.
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