Question

These two images show steps in a proof of the Pythagorean theorem. Which of the following statements about the proof is falser

A. The area of the interior square in step 2 is greater than the combined area of the two interior squares in step 1.
B. If you subtract the sum of the areas of the four triangles from the complete figure in both steps, the remaining areas are equal
C. The triangles in step 1 have the same combined area as the triangles in step 2
D. The proof shows that a2 + 12 = 2

Answer 1

The incorrect statement in the proof of the Pythagorean Theorem is option D: The proof shows that a² + 12 = 2.

Step-by-step explanation:

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. In the given proof, the incorrect statement is Option D: The proof shows that a² + 12 = 2. This is false because the Pythagorean Theorem equation is a² + b² = c², not a² + 12 = 2. Therefore, option D is the falser statement.