2. In right triangle ABC, a square is drawn on
each of its sides. An altitude CD is drawn to
the hypotenuse AB and extended to the
opposite side of the square on FE. In class,
we discussed Elena's observation that a2 = xc
and Diego's observation that b² = yc. Mai
observes that these statements can be thought
of as claims about the areas of rectangles.

a. Which rectangle has the same area as BGHC?

b. Which rectangle has the same area as ACIJ?