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 equals,it now follow that the square on the hypotenuse is equal to the sum of the squares on the legs.
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 equals,it now follow that the square on the hypotenuse is equal to the sum of the squares on the legs.
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