document.write( "Question 190973This question is from textbook Algebra Structure and Method book 1
\n" ); document.write( ": Directions: Make a sketch for each problem(optional). Approximathe each square root to the nearest hundreth. A calculator may be helpful.\r
\n" ); document.write( "\n" ); document.write( "Problem: A right triangle has sides whose length in feet are consecutive even integers. Determine the length of each side. \n" ); document.write( "
Algebra.Com's Answer #143373 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
Problem: A right triangle has sides whose length in feet are consecutive even integers. Determine the length of each side.
\n" ); document.write( ".
\n" ); document.write( "Let x = smallest even integer (1st leg)
\n" ); document.write( "then
\n" ); document.write( "x+2 = 2nd leg
\n" ); document.write( "x+4 = hypotenuse
\n" ); document.write( ".
\n" ); document.write( "If it is a \"right triangle\" we can apply Pythagorean theorem:
\n" ); document.write( "x^2 + (x+2)^2 = (x+4)^2
\n" ); document.write( "x^2 + (x+2)(x+2) = (x+4)(x+4)
\n" ); document.write( "x^2 + x^2+4x+4 = x^2+8x+16
\n" ); document.write( "2x^2+4x+4 = x^2+8x+16
\n" ); document.write( "x^2+4x+4 = 8x+16
\n" ); document.write( "x^2-4x+4 = 16
\n" ); document.write( "x^2-4x-12 = 0
\n" ); document.write( "(x-6)(x+2) = 0
\n" ); document.write( "x = {-2,6}
\n" ); document.write( "We can toss out the negative solution leaving us with:
\n" ); document.write( "x = 6 feet
\n" ); document.write( ".
\n" ); document.write( "The three sides are then:
\n" ); document.write( "6 feet, 8 feet, and 12 feet\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );