document.write( "Question 161669: Have a right triangle with base h+7 and height of h. The area equals 60. What is the height? \n" ); document.write( "

Algebra.Com's Answer #119142 by gonzo(654) $\"\"$ $\"About$

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height = h
\n" ); document.write( "base = h+7
\n" ); document.write( "area = 60
\n" ); document.write( "-----
\n" ); document.write( "formula for area = 1/2 base * height
\n" ); document.write( "base = h+7
\n" ); document.write( "height = h
\n" ); document.write( "area = 60
\n" ); document.write( "-----
\n" ); document.write( "formula becomes
\n" ); document.write( "(1/2)*h*(h+7) = 60
\n" ); document.write( "multiply both sides by 2 to remove the denominator.
\n" ); document.write( "h*(h+7) = 120
\n" ); document.write( "multiply out to remove parentheses
\n" ); document.write( "h^2 + 7*h = 120
\n" ); document.write( "subtract 120 from both sides of equation
\n" ); document.write( "h^2 + 7*h - 120 = 0
\n" ); document.write( "this is a quadratic equation with factors equal to
\n" ); document.write( "(h+15) * (h-8) = 0
\n" ); document.write( "-----
\n" ); document.write( "h = -15 no good because can't be negative.
\n" ); document.write( "answer is
\n" ); document.write( "h = 8
\n" ); document.write( "h+7 = 15
\n" ); document.write( "-----
\n" ); document.write( "1/2 base * height should = 60.
\n" ); document.write( "1/2 * (15) * (8) = 4 * 15 = 60.
\n" ); document.write( "answer is good.
\n" ); document.write( "h = 8.
\n" ); document.write( " \n" ); document.write( "

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