document.write( "Question 939987: What is the exact perimeter of an equilateral triangle that has a height of 18 cm. \n" ); document.write( "
Algebra.Com's Answer #572830 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "An equilateral triangle has \"3\" equal sides.\r
\n" ); document.write( "\n" ); document.write( "If each side is \"a\" and a height is \"h\", we know that \"h\" divides equilateral triangle into two right triangles with legs \"h\" and \"a%2F2\", and hypotenuse \"a\".\r
\n" ); document.write( "\n" ); document.write( "use Pythagoras theorem to find \"a\" when \"h=18cm\" \r
\n" ); document.write( "\n" ); document.write( "\"a%5E2=%28a%2F2%29%5E2%2Bh%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5E2-%28a%2F2%29%5E2=%2818cm%29%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"a%5E2-a%5E2%2F4=324cm%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"4a%5E2%2F4-a%5E2%2F4=324cm%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"3a%5E2%2F4=324cm%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"3a%5E2=1296cm%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"a%5E2=1296cm%5E2%2F3\"\r
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\n" ); document.write( "\n" ); document.write( "\"a%5E2=432cm%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"a=sqrt%28432cm%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"a=sqrt%283%2A144cm%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"a=12sqrt%283%29cm\"\r
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\n" ); document.write( "\n" ); document.write( "then the exact perimeter is:\r
\n" ); document.write( "\n" ); document.write( "\"P=3a\"\r
\n" ); document.write( "\n" ); document.write( "\"P=3%2A12sqrt%283%29cm\"\r
\n" ); document.write( "\n" ); document.write( "\"P=36sqrt%283%29cm\"\r
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