Which of the images above represents a proof of the Pthagorean Theorem? Explain your choice, and them explain how the figure proves the Phythagoream Theorem.

Figure A
The hypotenuse of the right triangle is 64 units^2
One leg is 36 units^2
The bottom leg is 9 units^2
Figure B
The hypotenuse of the right trangle is 169 units^2
One leg is 144 units^2
The bottom leg is 25 units ^2
My answer
There isn't one, because for figure A 9^2=a 36^2=b 64^2=c
64^2=4096
9^2+36^2=1377 so it can't be figure A.
For figure B 25^2=a 144^2=b 169^2=c
169^2=28561
25^2+144^2=21361.
So would I be right saying there is no right choice?
Answer this Question

I think you are right. I hope you are.

Based on the information provided, neither Figure A nor Figure B represents a proof of the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

For Figure A, the lengths given are 9, 36, and 64. However, when you try to apply the Pythagorean Theorem, 9^2 + 36^2 ≠ 64^2, which means the given lengths do not satisfy the theorem's criteria.

Similarly, for Figure B, the lengths given are 25, 144, and 169. Using the Pythagorean Theorem, 25^2 + 144^2 ≠ 169^2, which means the given lengths do not satisfy the theorem's criteria.

Therefore, based on the information provided, neither Figure A nor Figure B can be considered as a proof of the Pythagorean Theorem. To determine a valid proof, you would need to find a right triangle where the square of the hypotenuse is indeed equal to the sum of the squares of the other two sides.