# Problem of the Week Problem E The Hypotenuse is Aligned

$$\triangle OAB$$ is an isosceles right-angled triangle with

• vertex $$O$$ located at the origin; and

• vertices $$A$$ and $$B$$ located on the line $$2x+3y-13=0$$ such that $$\angle AOB=90^\circ$$ and $$OA=OB$$.

Determine the area of $$\triangle OAB$$.