document.write( "Question 201108: The base of a triangle is 6m greater than twice the height. The area is 28m. Find the height. \n" ); document.write( "
Algebra.Com's Answer #151328 by Earlsdon(6294)\"\" \"About 
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Start with the formula for tha area of a triangle:
\n" ); document.write( "\"A+=+%281%2F2%29bh\" Substitute: A = 28, b = 2h+6.
\n" ); document.write( "\"28+=+%281%2F2%29%282h%2B6%29h\" Simplify.
\n" ); document.write( "\"28+=+%281%2F2%29%282h%5E2%2B6h%29\" Perfom the indicated multiplication on the right side.
\n" ); document.write( "\"28+=+h%5E2%2B3h\" Subtract 28 from both sides.
\n" ); document.write( "\"h%5E2%2B3h-28+=+0\" Solve by factoring.
\n" ); document.write( "\"%28h%2B7%29%28h-4%29+=+0\" so...
\n" ); document.write( "\"h%2B7+=+0\" or \"h-4+=+0\" then...
\n" ); document.write( "\"cross%28h+=+-7%29\" or \"highlight%28h+=+4%29\" Discard the negative solution as the height, h, can only be positive.
\n" ); document.write( "The height is 4 meters.
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