These two images show steps in a proof of the Pythagorean theorem. Which of the following statements about the proof is false?
An image displaying two figures. Figure 1 has a big square that has two squares and two rectangles. One square with side a and another square with side b. The rectangle has length a and breadth b with diagonal c. Figure 2 has a big square that has a small square of side c and four triangles of side a, b and c.
A.
The proof shows that
.
B.
In step 1, the sum of the areas of the interior squares equals the sum of the areas of the four triangles.
C.
The sum of the areas of the triangles in step 1 equals the sum of the areas of the triangles in step 2.
D.
The area of the interior square in step 2 is equal to the combined area of the two interior squares in step 1.

Question

21-06-2024
Mathematics

Answered

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These two images show steps in a proof of the Pythagorean theorem. Which of the following statements about the proof is false?
An image displaying two figures. Figure 1 has a big square that has two squares and two rectangles. One square with side a and another square with side b. The rectangle has length a and breadth b with diagonal c. Figure 2 has a big square that has a small square of side c and four triangles of side a, b and c.
A.
The proof shows that
.
B.
In step 1, the sum of the areas of the interior squares equals the sum of the areas of the four triangles.
C.
The sum of the areas of the triangles in step 1 equals the sum of the areas of the triangles in step 2.
D.
The area of the interior square in step 2 is equal to the combined area of the two interior squares in step 1.

Sagot :

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