document.write( "Question 256570: The base of a triangle is 3 times the length of the altitude to that base. The area of the triangle is 96 cm^2. Find the length of the base. \n" ); document.write( "
Algebra.Com's Answer #188663 by unlockmath(1688)![]() ![]() You can put this solution on YOUR website! Hello, \n" ); document.write( "First off, we know the area of a triangle is 1/2*base*height. So with that we can plug in the numbers, in this case we'll use 3x for base and x for the height. \n" ); document.write( "1/2(3x)(x)=96 Rewritten it will be: \n" ); document.write( "1/2(3x^2)=96 Multiply both sides by 2 gives us: \n" ); document.write( "3x^2=192 Divide each side by 3 will be: \n" ); document.write( "x^2=64 Square root both sides is: \n" ); document.write( "x=8 cm This is the height and the base is \n" ); document.write( "24 cm \n" ); document.write( "Make sense? \n" ); document.write( "RJ \n" ); document.write( "Check out a new book at: \n" ); document.write( "www.math-unlock.com \n" ); document.write( " |