Let the point be (x,y) and the origin is (0,0).
Distance formula is
[tex]d = \sqrt{ (x_{2} - x_{1})^2 + ( y_{2} - y_{1})^2}[/tex]
Substituting the points,we will get
[tex]d = \sqrt{ (0-x)^2 + (0-y)^2 } \\ d = \sqrt{x^2 +y^2}[/tex]
Squaring both sides
[tex]d^2 = x^2 + y^2 \\ x^2 + y^2 = d^2[/tex]
And the pythagorean theorem is
[tex]a^2 +b^2 = c^2[/tex]
And the above equation we obtained in in the form of pythagorea identity .
So the given statement is true .
