Question

4 reflect rodrigo drew this diagram related to the diagram in problem 3. how does rodrigos diagram help to support understanding of the pythagorean theorem?

Explanation:

The Pythagorean Theorem states that in a right - triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides ($a^{2}+b^{2}=c^{2}$). Rodrigo's diagram likely shows squares constructed on the sides of a right - triangle. The areas of the smaller squares (blue and pink) sum up to the area of the larger square (combined blue and pink on the right), visually representing the algebraic relationship of the theorem.

Answer:

The diagram visually represents the relationship $a^{2}+b^{2}=c^{2}$ by showing the sum of the areas of the squares on the two legs of a right - triangle equaling the area of the square on the hypotenuse.