document.write( "Question 359293: what is the height of a triangle, where the area is 56 inches squared and a base of 14 inches? \n" ); document.write( "
Algebra.Com's Answer #256419 by geforcewong(2)![]() ![]() ![]() You can put this solution on YOUR website! The Area of a triangle is one-half the base times the height of the triangle. \n" ); document.write( "So A=(1/2)bh, where A= Area, b = base, h = height.\r \n" ); document.write( "\n" ); document.write( "Since you are given the Area (A =56 inches^2) \n" ); document.write( "and you are given the base (b = 14 inches),\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "You can find the height (h) by plugging the given Area and base into the equation: \n" ); document.write( " \n" ); document.write( "A = (1/2)bh\r \n" ); document.write( "\n" ); document.write( "So,\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "Plug in A= 56 inches^2 and b = 14 inches:\r \n" ); document.write( "\n" ); document.write( "56 inches^2 = (1/2)(14 inches)h \n" ); document.write( " \n" ); document.write( "Simplified:\r \n" ); document.write( "\n" ); document.write( "56 inches^2 = (7 inches)h \n" ); document.write( " \n" ); document.write( "Dividing both sides by 7 inches:\r \n" ); document.write( "\n" ); document.write( "56 inches^2 / 7 inches = h \n" ); document.write( " \n" ); document.write( "Simplifying units of measurement (inches^2 divided by inches = inches):\r \n" ); document.write( "\n" ); document.write( "h = (56/7) inches \n" ); document.write( " \n" ); document.write( "Simplified:\r \n" ); document.write( "\n" ); document.write( "h = 8 inches\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "Check your work: A = (1/2)(14)(8) = (7)(8) = 56 = Area that was given. \n" ); document.write( " \n" ); document.write( "Therefore, when the area of a triangle is 56 inches squared and has a base of 14 inches, the height will be 8 inches. \n" ); document.write( " |