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?
You did it wrong the answer would be B because a= 6^2=36+3^2=9= 46 not 64
B is 12^2=144+5^2= 25 = 169
Im having trouble on this too and Im having the samee problem.
Now realizing these were 3-2 years ago
4 years ago
5 years ago
You are correct in saying that 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 is equal to the sum of the squares of the lengths of the other two sides.
To prove the Pythagorean Theorem, we need a right triangle where the squares of the lengths of the sides satisfy the equation a^2 + b^2 = c^2, where a and b are the lengths of the legs of the triangle and c is the length of the hypotenuse.
In Figure A, we have 9^2 + 36^2 = 1377, which is not equal to 64^2 = 4096. Therefore, Figure A does not satisfy the Pythagorean Theorem.
In Figure B, we have 25^2 + 144^2 = 21361, which is also not equal to 169^2 = 28561. Hence, Figure B also does not prove the Pythagorean Theorem.
To find a correct illustration of the Pythagorean Theorem, we would need a right triangle where the equation a^2 + b^2 = c^2 is satisfied.