document.write( "Question 471943: How do I set up this word problem?
\n" ); document.write( "The height of a triangle is 5 more than half the base of the triangle. The area of the triangle is 14 squared centimeters?
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Algebra.Com's Answer #323619 by MathLover1(20849)\"\" \"About 
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The height of a triangle \"h\" is \"5\" more than half the base of the triangle \"b\". \r
\n" ); document.write( "\n" ); document.write( "\"h=b%2F2%2B5\"\r
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\n" ); document.write( "\n" ); document.write( "The area \"A\" of the triangle is \"14\" squared centimeters:\r
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\n" ); document.write( "\n" ); document.write( "\"A=14cm%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "also\r
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\n" ); document.write( "\n" ); document.write( "\"A=hb%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "so \"hb%2F2=14cm%5E2\"....replace \"h\" with \"b%2F2%2B5\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28b%2F2%2B5%29b%2F2=14cm%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28b%2B10%29%2F2%29b%2F2=14cm%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28b%5E2%2B10b%29%2F4=14cm%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"b%5E2%2B10b=14cm%5E2%2A4\"\r
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\n" ); document.write( "\n" ); document.write( "\"b%5E2%2B10b=56cm%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"b%5E2%2B10b-56cm%5E2=0\"........use quadratic formula to find \"b\"\r
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\n" ); document.write( "\n" ); document.write( "\"b+=+%28-10+%2B-+sqrt%28+10%5E2-4%2A1%2A%28-56%29+%29%29%2F%282%2A1%29+\" \r
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\n" ); document.write( "\n" ); document.write( "\"b+=+%28-10+%2B-+sqrt%28+100%2B224+%29%29%2F2+\"\r
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\n" ); document.write( "\n" ); document.write( "\"b+=+%28-10+%2B-+18%29%2F2+\" ......use only positive solution because the base cannot be negative\r
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\n" ); document.write( "\n" ); document.write( "\"b+=+%28-10+%2B+18%29%2F2+\"\r
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\n" ); document.write( "\n" ); document.write( "\"b+=+8%2F2+\"\r
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\n" ); document.write( "\n" ); document.write( "\"b+=+4cm\"\r
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\n" ); document.write( "\n" ); document.write( "now find \"h\"\r
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\n" ); document.write( "\n" ); document.write( "\"h=b%2F2%2B5\"\r
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\n" ); document.write( "\n" ); document.write( "\"h=4%2F2%2B5\"\r
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\n" ); document.write( "\n" ); document.write( "\"h=2%2B5\"\r
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\n" ); document.write( "\n" ); document.write( "\"h=7cm\"\r
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\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "\"A=hb%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "\"A=7cm%2A4cm%2F2\"\r
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\n" ); document.write( "\n" ); document.write( "\"A=7cm%2A2cm\"\r
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\n" ); document.write( "\n" ); document.write( "\"A=14cm%5E2\"\r
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