17.

The figure shows three shaded squares connected at vertices such that a triangle is formed in the middle. The area of the smaller square is 9 square units. The area of the medium square is 36 square units. The area of the larger square is 64 square units. The figure shows three shaded squares connected at vertices such that a triangle is formed in the middle. The area of the smaller square is 25 square units. The area of the medium square is 144 square units. The area of the larger square is 169 square units.
Figure A Figure B

Which of the images above represents a proof of the Pythagorean Theorem? Explain your choice, and then explain how the figure proves the Pythagorean Theorem. (4 points)

1 answer

with sides, a,b,c you want

a^2 + b^2 = c^2
Note that those are the areas of the three squares

Did you know?

The Pythagorean Theorem is a mathematical principle that states that in a right-angled 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 other two sides. It is represented by the equation a² + b² = c², where a and b are the lengths of the legs of the triangle, and c is the length of the hypotenuse. In the given figures, Figure B represents a proof of the Pythagorean Theorem. This is because in Figure B, the area of the smaller square (25 square units) plus the area of the medium square (144 square units) equals the area of the larger square (169 square units). This relationship between the areas of the squares is a visual representation of the Pythagorean Theorem, providing evidence for its validity.