document.write( "Question 519598: The base of a triangle is 3 cm greater than the height. The area is 2 cm^2. Find the height and the length of the base. \n" ); document.write( "

Algebra.Com's Answer #345696 by oberobic(2304) $\"\"$ $\"About$

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Area = 1/2(b*h) = 2 cm^2
\n" ); document.write( "b = h+3 cm^2
\n" ); document.write( ".
\n" ); document.write( "1/2(h+3)*h = 2
\n" ); document.write( "(h+3)*h = 4
\n" ); document.write( "h^2 + 3h = 4
\n" ); document.write( "h^2 + 3h -4 = 0
\n" ); document.write( "factor
\n" ); document.write( "(h-1)(h+4) = 0
\n" ); document.write( "so
\n" ); document.write( "h=1 or h=-4
\n" ); document.write( "but a negative height is nonsense
\n" ); document.write( "so
\n" ); document.write( "h = 1
\n" ); document.write( "which means
\n" ); document.write( "b = 1+3 = 4
\n" ); document.write( ".
\n" ); document.write( "check area
\n" ); document.write( "1/2(1*4) = 1/2*4 = 2
\n" ); document.write( "correct
\n" ); document.write( ".
\n" ); document.write( "Answer: Height = 1 cm, Base = 4 cm.
\n" ); document.write( ".
\n" ); document.write( "Done.
\n" ); document.write( " \n" ); document.write( "

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