A farmer had four land plots as shown. He had to divide the plots equally among two of his sons. He gave Area a and Area b to one of his son and third Area c to his second son.
He gave equal area of land plots to both his sons.
The areas shown in the figure are squares.
Let the side of area, a be A, side of area, b be B and side of area c be C,
Area a=A2, Area b=B2 and Area c=C2
The area of land received by the first son is
Area a+ Area b=A2+B2
The area of land received by second son is
By applying Pythagoras Theorem in the given figure,
So, area was equally divided.