document.write( "Question 927524: The base of a triangle is 3cm longer than it's corresponding height. If the area is 44cm^2, find the length of it's base\r
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Algebra.Com's Answer #563022 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
given:
\n" ); document.write( "the base of a triangle \"a\" is \"3cm\" longer than it's corresponding height \"h\"
\n" ); document.write( "the area is \"44cm%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"A=a%2Ah%2F2\"\r
\n" ); document.write( "\n" ); document.write( "if \"a=h%2B3cm\", then\r
\n" ); document.write( "\n" ); document.write( "\"44cm=%28h%2B3cm%29%2Ah%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"44cm%5E2%2A2=h%5E2%2B3hcm\"\r
\n" ); document.write( "\n" ); document.write( "\"88cm%5E2=h%5E2%2B3hcm\"\r
\n" ); document.write( "\n" ); document.write( "\"0=h%5E2%2B3hcm-88cm%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"h+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\" \r
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\n" ); document.write( "\n" ); document.write( "\"h+=+%28-3cm+%2B-+sqrt%28+%283cm%29%5E2-4%2A1%2A%28-88cm%5E2%29+%29%29%2F%282%2A1%29+\" \r
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\n" ); document.write( "\n" ); document.write( "\"h+=+%28-3cm+%2B-+sqrt%28+9cm%5E2%2B352cm%5E2%29+%29%2F2+\"\r
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\n" ); document.write( "\n" ); document.write( "\"h+=+%28-3cm+%2B-+sqrt%28+361cm%5E2%29+%29%2F2+\"\r
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\n" ); document.write( "\n" ); document.write( "\"h+=+%28-3cm+%2B-+19cm+%29%2F2+\"...we need only positive solution\r
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\n" ); document.write( "\n" ); document.write( "\"h+=+%28-3cm+%2B+19cm+%29%2F2+\"\r
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\n" ); document.write( "\n" ); document.write( "\"h+=+16cm+%2F2+\"\r
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\n" ); document.write( "\n" ); document.write( "\"highlight%28h+=+8cm%29++\"\r
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\n" ); document.write( "\n" ); document.write( "now, find the base:\r
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\n" ); document.write( "\n" ); document.write( "\"a=h%2B3cm\"\r
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\n" ); document.write( "\n" ); document.write( "\"a=16cm%2B3cm\"\r
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\n" ); document.write( "\n" ); document.write( "\"highlight%28a=19cm%29\"=> the length of it's base\r
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