let a,b,c denote the legs and the hypotenuse of the given right triangle,and consider the two squares in the accompanying figure,each having a+b as its side.
the first square is dissected into six pieces-namely,the two squares on the legs and four right triangles congruent to the given triangle.the second square is dissected into five pieces-namely,the square on the hypotenuse and four right triangles congruent to the given triangle.By subtracting equals from equala