document.write( "Question 921402: if the perimeter of an equilateral triangle be 18cm,then the length of each median is \n" ); document.write( "
Algebra.Com's Answer #558977 by MathLover1(20849)\"\" \"About 
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an equilateral triangle has all sides equal length\r
\n" ); document.write( "\n" ); document.write( "so,the perimeter is \"P=3a\" where \"a\" is side \r
\n" ); document.write( "\n" ); document.write( "if the perimeter of an equilateral triangle be \"P=18cm\",then\r
\n" ); document.write( "\n" ); document.write( "\"18cm=3a\"\r
\n" ); document.write( "\n" ); document.write( "\"18cm%2F3=a\"\r
\n" ); document.write( "\n" ); document.write( "\"6cm=a\"\r
\n" ); document.write( "\n" ); document.write( " the median divides equilateral triangle into two right angle triangle where the median is one leg, \"a%2F2\" is the other leg, and \"a\" is hypotenuse; so, use Pythagorean theorem\r
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\n" ); document.write( "\n" ); document.write( "\"a%5E2=median%5E2%2B%28a%2F2%29%5E2\" ..............plug in \"6cm=a\"\r
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\n" ); document.write( "\n" ); document.write( "\"%286cm%29%5E2=median%5E2%2B%286cm%2F2%29%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"36cm%5E2=median%5E2%2B%283cm%29%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"36cm%5E2-9cm%5E2=median%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"25cm%5E2=median%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%2825cm%5E2%29=median\"\r
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\n" ); document.write( "\n" ); document.write( "\"5cm=median\" => the length of each median; in an equilateral triangle all three median are congruent\r
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