Question

Look at the figure.

Answer 1

Under what conditions will the triangle formed by the three squares be a right triangle?
Answer
Area of Square 3 is equal to the perimeter of Square 1.
Area of Square 2 is equal to the perimeter of Square 3.
Area of Square2 is equal to the sum of the area of Square 1 and the area of Square3.
Area of Square3 is equal to the sum of the area of Square 1 and the area of Square2.

Answer 2

This is pretty much related to Pythagorean.
hypotenuse squared = base squared + height squared.

Square 2 is the biggest square, therefore it is the hypotenuse.

So, area of square 2 is equal to the area of square 1 and 3.

Answer 3

Thanks!