Given the diagram represents 3 squares constructed by the sides of a right-angle triangle.
The model is used to prove the Pythagorean theorem.
The square with a perimeter of 12 units, has a side length = 3 units
And the square with a perimeter of 16 units has a side length = 4 units
Using the Pythagorean theorem to find the length of the third square
Where is the side of the third square is the hypotenuse of the triangle
So, let the side of the third square = h
[tex]\begin{gathered} h^2=3^2+4^2=25 \\ h=\sqrt{25}=5 \end{gathered}[/tex]
The perimeter of the square is 4 times the side length
so, the perimeter od the third square = 4 * 5 = 20 units
So, the answer will be:
The perimeter of the third square = 20 units
