document.write( "Question 889972: I need help with this word problem! The question is The area of a triangle is 30 in squared. the base of the triangle is 2 in. more than twice the heigh of the triangle. Find the measures of the base and the height.\r
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\n" ); document.write( "\n" ); document.write( "I know that area= b x h divided by two but i just don't understand how to solve this one
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Algebra.Com's Answer #538588 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Write down what you know.
\n" ); document.write( "\"%281%2F2%29bh=30\"
\n" ); document.write( "\"bh=60\"
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\n" ); document.write( "\"b=2%2B2h\"
\n" ); document.write( "Substitute into the area equation.
\n" ); document.write( "\"%282%2B2h%29h=60\"
\n" ); document.write( "\"2h%2B2h%5E2=60\"
\n" ); document.write( "\"2h%5E2%2B2h-60=0\"
\n" ); document.write( "\"h%5E2%2Bh-30=0\"
\n" ); document.write( "You can factor this quadratic,
\n" ); document.write( "\"%28h%2B6%29%28h-5%29=0\"
\n" ); document.write( "Two solutions, however one is negative which makes no sense in this problem.
\n" ); document.write( "\"h-5=0\"
\n" ); document.write( "\"highlight%28h=5%29\"
\n" ); document.write( "Then,
\n" ); document.write( "\"b=2%2B2%285%29\"
\n" ); document.write( "\"b=2%2B10\"
\n" ); document.write( "\"highlight%28b=12%29\"
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