Two congruent squares are shown in figures 1 and 2 below.
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The combined area of the shaded triangles in Figure 1 is equal to the combined area of the shaded triangles in Figure 2. The area of the unshaded square in Figure 1 can be represented by [tex]\bold{c^2}[/tex]. The combined area of the two unshaded squares in Figure 2 can be represented by [tex]\rm \bold{a^2+b^2}[/tex]. The areas of the squares in Figure 1 and Figure 2 show that [tex]\rm \bold{a^2+b^2=c^2}[/tex].
Given :
Figure 1 and figure 2 are given.
The combined area of the shaded triangles in Figure 1 is equal to the combined area of the shaded triangles in Figure 2.
The area of the unshaded square in Figure 1 can be represented by [tex]\bold{c^2}[/tex].
The combined area of the two unshaded squares in Figure 2 can be represented by [tex]\rm \bold{a^2+b^2}[/tex].
The areas of the squares in Figure 1 and Figure 2 show that [tex]\rm \bold{a^2+b^2=c^2}[/tex].
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