Respuesta :

Answer:

Step-by-step explanation:

The formula for Pythagoras's theorem is given by a^2 + b^2 = c^2

Area of a square is given by length * length = L^2

In this case,

The length of the 2 smaller squares are 3 and 4 respectively,

Square A = 3, Square B = 4

Its area (can be counted by the number of small boxes) = 9 and 16 boxes respectively.

The biggest Square C has length of 5 boxes and an area of 25 boxes.

Now Square A + Square B = Square C,

which is 9 + 16 = 25 as shown.

We also know the Area of a square is given by length * length

Thus, re-writing the area as length * length,

We have 3^2 + 4^2 = 5^2,

which checks out with the formula of a^2 + b^2  = c^2.

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