## Algebra 1: Common Core (15th Edition)

In the equation a2+b2=c2, a and b are the lengths of the two legs and c is the length of the hypotenuse. $a^2+b^2=c^2$⟶ substitute the given values $122+x^2=133$⟶ compute the squares $144+x^2=169$⟶ subtract 144 from each side $144+x^2−144=169−144$⟶ subtract $x^2=25$⟶ find the square root of each side $x=5$