The image illustrates the Pythagorean theorem, a fundamental concept in geometry, showing a right-angled triangle with squares constructed on each of its sides. The theorem 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 lengths of the other two sides.
(1 point)
Responses
False; the squares all have similar areas, so does not show the Pythagorean Theorem
False; the squares all have similar areas, so does not show the Pythagorean Theorem
False; the green square needs to be congruent to the purple square to be a picture of the Pythagorean Theorem
False; the green square needs to be congruent to the purple square to be a picture of the Pythagorean Theorem
True; the area of the red square + the area of the green square = the area of the purple square
True; the area of the red square + the area of the green square = the area of the purple square
True; the area of the green square + the area of the purple square = the area of the red square
True; the area of the green square + the area of the purple square = the area of the red square
1 answer
The correct response is:
True; the area of the red square + the area of the green square = the area of the purple square.
This statement accurately reflects the Pythagorean Theorem, which asserts that in a right-angled triangle, the area of the square on the hypotenuse (red square) is equal to the sum of the areas of the squares on the other two sides (green and purple squares).
