document.write( "Question 319348: The base of a triangle is 4 inches less than twice the height. The area is 35 inches^2. Find the height and the base. Please help me with this problem. Thank you. \n" ); document.write( "

Algebra.Com's Answer #228679 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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The base of a triangle is 4 inches less than twice the height.
\n" ); document.write( " The area is 35 inches^2. Find the height and the base.
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\n" ); document.write( "Let x = the height
\n" ); document.write( "then
\n" ); document.write( "(2x-4) = the base
\n" ); document.write( ":
\n" ); document.write( "The area: $\"1%2F2%7D%7Db%2Ah+=+35%0D%0ASubstitute+for+b+and+h%0D%0A%7B%7B%7B1%2F2\"$ *(2x-4)*x = 35
\n" ); document.write( "Multiply both sides by 2, get rid of the fraction
\n" ); document.write( " 2x^2 - 4x = 2(35)
\n" ); document.write( "Arrange as a quadratic equation:
\n" ); document.write( "2x^2 - 4x - 70 = 0
\n" ); document.write( "simplify, divide by 2
\n" ); document.write( "x^2 - 2x - 35 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x-7)(x+5) = 0
\n" ); document.write( "The positive solution
\n" ); document.write( "x = 7 in is the height
\n" ); document.write( "then
\n" ); document.write( "2(7) - 4 = 10 in is the base
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check the area with these values
\n" ); document.write( ".5 * 7 * 10 = 35 \n" ); document.write( "

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