document.write( "Question 1031662: The base of a triangle exceeds the height by 4 meters. If the area is 126 square meters, find the length of the base and the height of the triangle. \n" ); document.write( "
Algebra.Com's Answer #646374 by fractalier(6550)\"\" \"About 
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The area of a triangle is given by
\n" ); document.write( "\"A+=+%281%2F2%29bh\"
\n" ); document.write( "In our problem, b = h + 4 and A = 126...let's plug that in and solve for the height...we get
\n" ); document.write( "\"126+=+%281%2F2%29%28h%2B4%29h\"
\n" ); document.write( "\"252+=+h%5E2+%2B+4h\"
\n" ); document.write( "\"h%5E2+%2B+4h+-+252+=+0\"
\n" ); document.write( "We can factor this and get
\n" ); document.write( "\"%28h%2B18%29%28h-14%29+=+0\"
\n" ); document.write( "so that
\n" ); document.write( "h = 14 m and that means the base is
\n" ); document.write( "b = h+4 = 18 m
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