QuestionTwo congruent squares are shown in Figures 1 and 2 below.
Figure 1
Figure 2
se the drop-down menus to complete the proof of the Pythagorean Theorem using the figures. lick the arrows to choose an answer from each menu.
The combined area of the shaded triangles in Figure 1 is Choose... the combined area of the shaded triangles in Figure 2. The area of the unshaded square in Figure 1 can be represented by Choose... - The combined area of the two unshaded squares in Figure
2 can be represented by
Choose...
. The areas of the squares in Figure 1 and Figure
ress
Studdy Solution
Since the total area of the large square in both figures is the same, we equate the expressions derived from each figure:
(from Figure 1)
(from Figure 2)
Since both expressions represent the total area of the large square, we equate the unshaded areas:
This completes the proof of the Pythagorean Theorem.
The proof of the Pythagorean Theorem using the figures is completed.
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