document.write( "Question 985501: Height of an equilateral triangle is 5root 3 cm .find its area & perimeter \n" ); document.write( "
Algebra.Com's Answer #606334 by ikleyn(52839)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Height of an equilateral triangle is \"5sqrt%283%29\" cm. Find its area & perimeter.
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\n" ); document.write( "\n" ); document.write( "In an equilateral triangle the height  h  is equal to \r
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\n" ); document.write( "\n" ); document.write( "\"h\" = \"%28a%2Asqrt%283%29%29%2F2\", \r
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\n" ); document.write( "\n" ); document.write( "where  \"a\"  is the side measure. Hence, \r
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\n" ); document.write( "\n" ); document.write( "\"a\" = \"%282h%29%2Fsqrt%283%29\". \r
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\n" ); document.write( "\n" ); document.write( "In our case  \"a\" = \"%282%2A5sqrt%283%29%29%2Fsqrt%283%29\" = 10 cm. \r
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\n" ); document.write( "\n" ); document.write( "Therefore, the area of the triangle is \r
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\n" ); document.write( "\n" ); document.write( "\"S\" = \"1%2F2\".\"ah\" = \"1%2F2\".\"10\".\"5sqrt%283%29\" = \"25sqrt%283%29\" \"cm%5E2\". \r
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\n" ); document.write( "\n" ); document.write( "The perimeter is \r
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\n" ); document.write( "\n" ); document.write( "\"P\" = \"3a\" = 30 cm.\r
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