document.write( "Question 482448: c is the midpoint of ab, d is the midpoint of ac, e is the midpoint of ad, f is the midpoint of ed, g is the midpoint of ef, and h is the midpoint of db. if dc is =16 find gh. \n" ); document.write( "
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c is the midpoint of ab, d is the midpoint of ac, e is the midpoint of ad, f is the midpoint of ed, g is the midpoint of ef, and h is the midpoint of db. if dc is =16 find gh.\r
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\n" ); document.write( "\n" ); document.write( "It’s given that DC = 16, but since we know that DC = ¼AB (½ of ½AB), we can say that: ¼AB = 16. This means that AB = 64. \r
\n" ); document.write( "\n" ); document.write( "GF = \"%281%2F32%29AB\", or \"%281%2F32%2964\", or 2, and FD = \"%281%2F16%29AB%2C+or+%7B%7B%7B1%2F16%2964\", or 4. Also, we can see that AD = ¼(AB), or ¼(64), or 16. \r
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\n" ); document.write( "\n" ); document.write( "Now, since AB = 64, and AD = 16, then DB must = 48 (64 – 16). And, since it was given that H is the midpoint of DB, it follows that DH = HB = ½DB, or ½(48), or 24. \r
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\n" ); document.write( "\n" ); document.write( "Since GH = GF + FD + DH, then GH = 2 + 4 + 24 = \"highlight_green%2830%29\". \n" ); document.write( "
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