document.write( "Question 108767This question is from textbook
\n" ); document.write( ": The height of a triangle is 4 feet less than the base. The area of the triangle is 16 square feet. Find the length of the base and heigh of the triangle. \n" ); document.write( "

Algebra.Com's Answer #79310 by Fombitz(32388) $\"\"$ $\"About$

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$\"H=B-4\"$
\n" ); document.write( " $\"A=16\"$
\n" ); document.write( "The formula for the area of a triangle is,
\n" ); document.write( " $\"A=%281%2F2%29BH\"$
\n" ); document.write( " $\"%281%2F2%29BH=16\"$
\n" ); document.write( " $\"%281%2F2%29B%28B-4%29=16\"$ Substitute for H.
\n" ); document.write( " $\"B%5E2-4B=32\"$ Multiply both side by 2, use the Distributive property.
\n" ); document.write( " $\"B%5E2-4B-32=0\"$ Group all terms on one side.
\n" ); document.write( " $\"%28B-8%29%28B%2B4%29=0\"$ Factor the quadratic equation.
\n" ); document.write( " $\"B-8=0\"$ Choose the positive root, negative number would not make sense in this application.
\n" ); document.write( " $\"B=8\"$
\n" ); document.write( " $\"H=B-4\"$
\n" ); document.write( " $\"H=4\"$
\n" ); document.write( "Check your area.
\n" ); document.write( " $\"A=%281%2F2%29BH\"$
\n" ); document.write( " $\"A=%281%2F2%298%2A4\"$
\n" ); document.write( " $\"A=16\"$
\n" ); document.write( "Good answer.
\n" ); document.write( "B=8 feet, H=4 feet. \n" ); document.write( "

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