Algebra Solutions
Topics || Problems
Find the side of a square whose diagonal is 5 feet longer than a side.
\( d = 5 + s\)
Using the Pythagorean Theorem the diagonal is equal to \(s \sqrt{2}\)
\( d= 5 +s =s \sqrt{2} \)
\( 5 = s \sqrt{2} -s\)
\( 5 = s ( \sqrt{2} -1)\)
\( s = 5+5\sqrt{2}\)