document.write( "Question 1041162: The base of a triangle is 4 cm greater than the height. The area is 48cm^2. Find the height and base of the triangle. \n" ); document.write( "

Algebra.Com's Answer #656095 by jim_thompson5910(35256) $\"\"$ $\"About$

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height = x
\n" ); document.write( "base = x+4\r
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\n" ); document.write( "\n" ); document.write( "Area = 0.5*base*height
\n" ); document.write( "Area = 0.5*(x+4)*x
\n" ); document.write( "Area = 0.5x^2+2x\r
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\n" ); document.write( "\n" ); document.write( "Plug in the given area of 48 and solve for x\r
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\n" ); document.write( "\n" ); document.write( "Area = 0.5x^2+2x
\n" ); document.write( "48 = 0.5x^2+2x
\n" ); document.write( "0.5x^2+2x-48 = 0
\n" ); document.write( "x^2+4x-96 = 0
\n" ); document.write( "(x+12)(x-8) = 0
\n" ); document.write( "x+12 = 0 or x-8 = 0
\n" ); document.write( "x = -12 or x = 8\r
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\n" ); document.write( "\n" ); document.write( "Ignore the negative solution
\n" ); document.write( "Since x = 8, this means x+4 = 8+4 = 12\r
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\n" ); document.write( "\n" ); document.write( "Height= 8 cm
\n" ); document.write( "Base = 12 cm\r
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\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( "0.5*base*height = 0.5*8*12 = 48
\n" ); document.write( "Answer is confirmed \n" ); document.write( "

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