document.write( "Question 900672: Suppose the base and height of a triangle sum to 12, and the area of the triangle is 16 square cm. What are the dimensions (base and height) of the triangle?\r
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document.write( "Please break the problem down and show me how you solved it,
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document.write( "Thank you!\r
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Algebra.Com's Answer #546086 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let base =b and height =h\r \n" ); document.write( "\n" ); document.write( "(b+h)=12\r \n" ); document.write( "\n" ); document.write( "area of triangle = (1/2) * b*h\r \n" ); document.write( "\n" ); document.write( "(1/2) bh = 16\r \n" ); document.write( "\n" ); document.write( "bh =16*2=32\r \n" ); document.write( "\n" ); document.write( "h= 32/b\r \n" ); document.write( "\n" ); document.write( "Now (b+h)=12\r \n" ); document.write( "\n" ); document.write( "(b+32/b ) = 12\r \n" ); document.write( "\n" ); document.write( "multiply equation by b\r \n" ); document.write( "\n" ); document.write( "b^2+32=12b\r \n" ); document.write( "\n" ); document.write( "b^2-12b+32=0\r \n" ); document.write( "\n" ); document.write( "b^2-8b-4b+32=0\r \n" ); document.write( "\n" ); document.write( "b(b-8)-4(b-8)=0\r \n" ); document.write( "\n" ); document.write( "(b-8)(b-4)=0\r \n" ); document.write( "\n" ); document.write( "b=4 OR 8\r \n" ); document.write( "\n" ); document.write( "if b=4 h=8\r \n" ); document.write( "\n" ); document.write( "if b=8 h= 4\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |