document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=979369>Question 979369</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the length of the smallest side of a triangle if the measures of the angles are in ratio 1:2:3, and the perimeter is 30 + 10 square root 3?\r<BR>\n" );
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document.write( "~~The only answer choice I have is 10 or 20. I have tried but with both attempts, I got it wrong. Please help! </SPAN>\n" );
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document.write( "What is the length of the smallest side of a triangle if the measures of the angles are in ratio 1:2:3, and the perimeter is 30 + 10 square root 3?\r<BR>\n" );
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document.write( "~~The only answer choice I have is 10 or 20. I have tried but with both attempts, I got it wrong. Please help!<BR>\n" );
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document.write( "If 10 or 20 is not the right answer, you have no control over that.<BR>\n" );
document.write( "1x + 2x + 3x = 6x = 180 degrees<BR>\n" );
document.write( "x = 30<BR>\n" );
document.write( "--> angles of 30, 60 & 90 degs<BR>\n" );
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document.write( "For a 30-60-90 triangle:<BR>\n" );
document.write( "If the shortest side length = 1, the hypotenuse = 2<BR>\n" );
document.write( "The 3rd side = sqrt(2^2 - 1) = sqrt(3)<BR>\n" );
document.write( "Perimeter = 3 + sqrt(3)<BR>\n" );
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document.write( "The perimeter you're given is 10 times that, and it's linearly related.<BR>\n" );
document.write( "--> the shortest side's length = 10<BR>\n" );
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