In Figure 1, the area of square A is 9 square units, the area of square B is 16 square units, and the area of square C is 25 square units.
In Figure 2, the area of square D is 36 square units and the area of square E is 64 square units, and the area of square F is 100 square units.
In Figure 3, the area of square G is 25 square units and the area of square H is 144 square units, and the area of square I is 169 square units.
What can be concluded about the areas of the squares?
A.
The sum of the areas of the two smaller squares is greater than the area of the larger square.
B.
The sum of the areas of the two smaller squares is equal to the area of the larger square.
C.
The sum of the areas of the two smaller squares is equal to the area of the triangle.
D.
The sum of the areas of the two smaller squares is less than the area of the larger square.
B. The sum of the areas of the two smaller squares is equal to the area of the larger square.
This conclusion can be drawn by observing that the areas of square A and square B in Figure 1 add up to 25, which is equal to the area of square C. Similarly, in Figure 2, the areas of square D and square E add up to 100, which is equal to the area of square F. Lastly, in Figure 3, the areas of square G and square H add up to 169, which is equal to the area of square I.