document.write( "Question 363878: A gardener wants to create a triangular garden in the shape of a right triangle with shortest side length x – 6y ft. and the middle length side x + 6y ft. What is an algebraic expression for the area of the garden? Be sure to multiply this out and express in simplest correct mathematical form, including units.\r
\n" ); document.write( "\n" ); document.write( "I thought I had this until I looked at the formula for a right triangle\r
\n" ); document.write( "\n" ); document.write( "This is what I have \r
\n" ); document.write( "\n" ); document.write( "(x-6y)(x+6y) using FOIL\r
\n" ); document.write( "\n" ); document.write( "= x^2 - 36y^2 ft But how does this fit with a^2 + b^2 = c^2\r
\n" ); document.write( "\n" ); document.write( "Would I divide x^2 - 36y^2 by 2? I am so confused.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #259525 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A gardener wants to create a triangular garden in the shape of a right triangle with shortest side length x – 6y ft. and the middle length side x + 6y ft.
\n" ); document.write( "-------------------------
\n" ); document.write( "What is an algebraic expression for the area of the garden?
\n" ); document.write( "Be sure to multiply this out and express in simplest correct mathematical form, including units.
\n" ); document.write( "-------
\n" ); document.write( "I thought I had this until I looked at the formula for a right triangle
\n" ); document.write( "which is Area = (1/2)base*height
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "This is what I have
\n" ); document.write( "Area of the triangle = (1/2)(x-6y)(x+6y) using FOIL
\n" ); document.write( "= (1/2)(x^2 - 36y^2) ft^2
\n" ); document.write( "---------------------------------
\n" ); document.write( "But how does this fit with a^2 + b^2 = c^2
\n" ); document.write( "This is the formula for finding the length of
\n" ); document.write( "the hypotenuse of a right triangle.
\n" ); document.write( "========================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "============
\n" ); document.write( "
\n" ); document.write( "Would I divide x^2 - 36y^2 by 2? I am so confused.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );