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.