document.write( "Question 68603: If you have a square that is 6 ft on each side and you want to make a triangle with the same sq. footage, how would you and what would be the length of each side. ( length of diagonal line) \n" ); document.write( "
Algebra.Com's Answer #48822 by wgomero(28)![]() ![]() ![]() You can put this solution on YOUR website! area of the square = 6ft * 6ft = 36ft^2 \n" ); document.write( "since you want the area of the triangle the same as the square then: \n" ); document.write( "Triangle area = (b*h)/2 \n" ); document.write( " 36ft^2 = (6ft* h)/2 \n" ); document.write( " 36ft^2 = 3ft*h \n" ); document.write( " (36ft^2)/3 = h \n" ); document.write( " h = 12ft \n" ); document.write( " so the two sides of the traingle are : 6ft and 12ft. \n" ); document.write( "in order to find the diagonal use the formula a^2 + b^2 = c^2 \n" ); document.write( "replacing values:\r \n" ); document.write( "\n" ); document.write( "6ft^2 + 12ft^2 = c^2 \n" ); document.write( "36ft^2 + 144ft^2 = c^2 \n" ); document.write( "180ft^2 = c^2\r \n" ); document.write( "\n" ); document.write( "c = squar root of 180ft^2 \n" ); document.write( "c = 13.42ft\r \n" ); document.write( "\n" ); document.write( "therefore the diagonal should 13.42ft\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |