document.write( "Question 823463: The lengths of the sides of a triangle from Geomatric Progression.If the shortest side is 9 cm and the perimeter is 37 cm.Find the length of the other two sides \n" ); document.write( "
Algebra.Com's Answer #495553 by josgarithmetic(39617)\"\" \"About 
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The sides are 9, 9*r, and 9*r^2.
\n" ); document.write( "\"9%2B9r%2B9r%5E2=37\"
\n" ); document.write( "'
\n" ); document.write( "\"9r%2B9r%5E2=28\"
\n" ); document.write( "\"9r%5E2%2B9r-28=0\"
\n" ); document.write( "\"r=%28-9%2Bsqrt%2881-4%289%29%28-28%29%29%29%2F%282%2A9%29\" to use the PLUS square root.
\n" ); document.write( "\"r=%28-9%2Bsqrt%281089%29%29%2F%282%2A9%29\"
\n" ); document.write( "\"r=%28-9%2B33%29%2F18\"
\n" ); document.write( "\"r=24%2F18=12%2F9=highlight_green%284%2F3%29\", the ratio for the geometric sequence of sides.\r
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\n" ); document.write( "\n" ); document.write( "The other two side lengths are 9(4/3) and 9(16/9);
\n" ); document.write( "or
\n" ); document.write( "12 and 16.
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