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Sagot :
The area of Square 4 is [tex]a^2+2ab+b^2[/tex].
The area of Square 5 is [tex]2ab+c^2[/tex].
Setting them equal to one another ([tex]a^2+2ab+b^2=2ab+c^2[/tex]) and simplifying yields that [tex]a^2+b^2=c^2[/tex] (note that [tex]2ab[/tex] is what they have in common), which is Pythagoras' theorem.
Answer: part A
The relationship between the areas of the three squares is that square A plus square B equals the area of square C.
part E
(4y)^2 = (5x)^2 and 25x^2 - 16y^2 = 0
part F
(4y)=(5x)
25x-16y=0
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