Question 6 (1 point)
Pythagorean theorem - Wikipedia
Which statement is true?
a
Pythagorean Theorem states that the area of the blue square + the area of the red square = the area of the purple square.
b
Pythagorean Theorem states three squares can always be put together to form a right triangle in the middle.
c
Pythagorean Theorem states that the area of the purple square + the area of the blue square = the area of the red square
d
Pythagorean Theorem states that all three squares have 4 right angles.
e
Pythagorean Theorem states that the area of the 3 squares add to be the right triangle's area
e
Pythagorean Theorem states that the area of the 3 squares add to be the right triangle's area.
To answer this question, we can start by understanding what the Pythagorean Theorem states. The Pythagorean Theorem is a fundamental principle in geometry that relates the lengths of the three sides of a right triangle. It states that the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse).
Now, we can evaluate each statement and determine which one aligns with the Pythagorean Theorem:
a) This statement is not correct. The Pythagorean Theorem does not specifically mention a blue square or a red square.
b) This statement is also not correct. The Pythagorean Theorem does not mention three squares that form a right triangle. It focuses on the relationship between the sides of a right triangle.
c) This statement is incorrect as well. The Pythagorean Theorem does not mention a purple square or a blue square being added to find the area of the red square.
d) This statement is not related to the Pythagorean Theorem. It describes a property of squares in general that all their angles are right angles. The theorem itself deals with the lengths of the sides of right triangles.
e) This statement correctly summarizes the Pythagorean Theorem. It states that the sum of the areas of the blue square, the red square, and the purple square equals the area of the right triangle.
Therefore, the correct answer is option e) "Pythagorean Theorem states that the area of the 3 squares adds to be the right triangle's area."