Answer:
D
Step-by-step explanation:
We can go through each answer to see if it's right
A
In a right triangle, with c opposite the right angle, we know that
a²+b² = c²
The answer is stating that a+b = c². Unless both a and b are either 0 or 1, this is incorrect
B
The area of a rectangle is equal to length * width, or in this case, a* b. Compare this with our equation of
a²+b² = c² and this is incorrect
C
The hypotenuse, or the side opposite the right angle, is c. The answer is stating that c = c². This is incorrect unless c = 1 or c = 0
D
The square constructed on the hypotenuse would have a side length of c. The area of a square is length², or in this case, c². c² = c² so this is correct