document.write( "Question 874072: The height of a triangle is 4 meters more than it's base. If the area of the triangle is 160 square meters, find the base and height \n" ); document.write( "

Algebra.Com's Answer #527468 by ben720(159) $\"\"$ $\"About$

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Let b = base
\n" ); document.write( "Let b+4 = height
\n" ); document.write( " $\"1%2F2%2Abh=A\"$
\n" ); document.write( " $\"1%2F2%2Ab%2A%28b%2B4%29=160\"$
\n" ); document.write( "Distribute
\n" ); document.write( " $\"1%2F2%2Ab%5E2%2B2b=160\"$
\n" ); document.write( "Subtract 160 from both sides
\n" ); document.write( " $\"1%2F2%2Ab%5E2%2B2b-160\"$
\n" ); document.write( "Use the quadratic formula, where x = b
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"x+=+%28-2+%2B-+sqrt%28+2%5E2-4%2A1%2F2%2A-160%29%29%2F%282%2A1%2F2%29+\"$
\n" ); document.write( " $\"x=-2%2B-sqrt%284%2B320%29\"$
\n" ); document.write( " $\"x=-2%2B-sqrt%28324%29\"$
\n" ); document.write( "Because the measurements must be positive,
\n" ); document.write( " $\"x=-2%2B18\"$
\n" ); document.write( " $\"x=16\"$
\n" ); document.write( "The base is 16 and the height is 20. \n" ); document.write( "

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