In the figure, what would be represented by c^2 A the sum of the lengths of legs a + b

B the area of the rectangle with diagonal

c the length of the hypotenuse of the triangle

D the area of a square constructed on the hypotenuse

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

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step-by-step explanation: