document.write( "Question 309637: The base of a triangle is one-third as long as its height. If the area of the trinagle is 24 square meters, how long is its base? \n" ); document.write( "
Algebra.Com's Answer #221451 by unlockmath(1688)![]() ![]() You can put this solution on YOUR website! Hello, \n" ); document.write( "We know the formula for the area of a triangle is A=1/2BH so we can plug in the values known:(Hint: let x be the height and 1/3(x) be the base) \n" ); document.write( "24=1/2(x)(1/3)x Rewrite this as: \n" ); document.write( "24=1/6x^2 Multiply both sides by 6 to get: \n" ); document.write( "144=x^2 Square root both sides to get: \n" ); document.write( "x=12 \n" ); document.write( "So now we know the height is 12 meters and the base is 4 meters. \n" ); document.write( "Plug these into the formula and it works. \n" ); document.write( "Make sense? \n" ); document.write( "RJ \n" ); document.write( "www.math-unlock.com \n" ); document.write( " |