document.write( "Question 106170: the height of a triangle is five feet less than two times the base. If the area is 75 square feet find the base and height. \n" ); document.write( "

Algebra.Com's Answer #77218 by josmiceli(19441) $\"\"$ $\"About$

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$\"A+=+75\"$ sq ft
\n" ); document.write( " $\"A+=+%281%2F2%29%2Ab%2Ah\"$
\n" ); document.write( "Let the base = d
\n" ); document.write( "Let the height = h
\n" ); document.write( " $\"h+=+2d+-+5\"$
\n" ); document.write( " $\"A+=+%281%2F2%29%2Ad%2A%282d-5%29\"$
\n" ); document.write( " $\"75+=+%281%2F2%29%2Ad%2A%282d-5%29\"$
\n" ); document.write( " $\"150+=+2d%5E2+-+5d\"$
\n" ); document.write( " $\"2d%5E2+-+5d+-+150+=+0\"$
\n" ); document.write( "Use $\"d+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "when equation is $\"ax%5E2+%2B+bx+%2B+c+=+0\"$
\n" ); document.write( "a = 2
\n" ); document.write( "b = -5
\n" ); document.write( "c = -150
\n" ); document.write( " $\"d+=+%285+%2B-+sqrt%28+%28-5%29%5E2-4%2A2%2A%28-150%29+%29%29%2F%282%2A2%29+\"$
\n" ); document.write( " $\"d+=+%285+%2B-+sqrt%2825+%2B+1200%29%29+%2F+4\"$
\n" ); document.write( " $\"d+=+%285+%2B-+sqrt%281225%29%29+%2F+4\"$
\n" ); document.write( " $\"d+=+%285+%2B+35%29+%2F+4\"$ (the negative sign makes no sense in this problem)
\n" ); document.write( " $\"d+=+10\"$ ft This is the base
\n" ); document.write( " $\"h+=+2d+-+5\"$
\n" ); document.write( " $\"h+=+20+-+5\"$
\n" ); document.write( " $\"h+=+15\"$ ft This is the height
\n" ); document.write( " \n" ); document.write( "

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