document.write( "Question 373985: The base of a triangle is 2 in.
\n" ); document.write( "longer than the height. The area is 12 in. to the second power . Find the
\n" ); document.write( "height and the base.\r
\n" ); document.write( "\n" ); document.write( "Could some one help please! Thank you!
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Algebra.Com's Answer #266176 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Given the base = height + 2 or:
\n" ); document.write( "\"b+=+h%2B2\"
\n" ); document.write( "And the area is 12 sq.in.
\n" ); document.write( "Start with the formula for the area of a triangle:
\n" ); document.write( "\"A+=+%281%2F2%29b%2Ah\" Substitute \"A+=+12\" and \"b+=+h%2B2\"
\n" ); document.write( "\"12+=+%281%2F2%29%28h%2B2%29%2Ah\" Simplify by multiplying by 2.
\n" ); document.write( "\"2%2812%29+=+2%281%2F2%29%28h%2B2%29%2Ah\" Simplify.
\n" ); document.write( "\"24+=+%28h%2B2%29%2Ah\" or
\n" ); document.write( "\"24+=+h%5E2%2B2h\" Rearrange into standard quadratic equation form.
\n" ); document.write( "\"h%5E2%2B2h-24+=+0\" Solve by factoring.
\n" ); document.write( "\"%28h-4%29%28h%2B6%29+=+0\" Apply the zero product rule.
\n" ); document.write( "\"h-4+=+0\" or \"h%2B6+=+0\" which means that...
\n" ); document.write( "\"h+=+4\" or \"h+=+-6\" Discard the negative solution as height (h) is a positive quantity.
\n" ); document.write( "\"h+=+4\"
\n" ); document.write( "The height is 4 inches and the base is 6 (h+2)inches.
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