Question 1152182

as you can see, point {{{P}}} is {{{midpoint}}} of hypotenuse, and its coordinates are:

{{{P}}}({{{(0+4)/2}}}), ({{{(0+4)/2}}})=({{{2}}},{{{2}}})


a shaded triangular region is right triangle with legs length of {{{2}}}

so, the area of a shaded triangular region is:

{{{ A=(1/2)*2*2=(2/2)*2=2}}}