Use the diagram to determine which statement is true.
A) Area(ABCD) − AREA(DGA) = AREA(DEFG)
B) Area(ABCD) − AREA(GHIA) = AREA(DEFG)
C) Area(ABCD) + AREA(GHIA) = AREA(DEFG)
D) Area(GHIA) − AREA(DEFG) = AREA(ABCD)
E) Area(ABCD) + AREA(GHIA) = AREA(DGA)
After studying the diagram shown, Michael makes the following conclusions:
1. DG = 3 and the area of square DEFG is 9.
2. AG = 4 and the area of square GHIA is 16.
3. DA = 5 and the area of square ABCD is 25.
What conclusion can he make about the sides (DG, AG, and DA) of the yellow triangle?
A) DG + AG = DA
B) DA - DG = AG
C) DA^2 = DG^2 + AG^2
D) DA^2 = DG^2 - AG^2
E) DA = √DG + AG