Respuesta :

The best answer is D.

According to the pythagorean theorem, a^2+b^2=c^2 in a right triangle where a and b are the legs and c is the hypotenuse.

The diagram given gives the length of both legs, so plug it into the equation to get c^2= 24^2+45^2
It is Pythagorean Theorem by the way

and it states that the area of the square drawn on  the hypotenuse equals the areas of both squares drawn on the legs


and we can conclude that the area of A equals:

[tex]24^2+45^2[/tex]