Question

Here is another interesting proof. The smaller white square is inside a larger square. Each blue area is a right triangle. To find the area of the white square, you can find the area of the big square and subtract the areas of the right triangles. Use these areas to write an equation for the area of the white square. Simplify the equation if possible.

Answer 1

a squered plus b squared

Explanation:

Answer 2

Area of square = (a+b)^2
Area of 4 triangles= 4(1/2 ab)

Area of white square = (a+b)^2 - 4(1/2 ab

Or area of white square= (a+b)^2 - 2ab

Or area of white square= a^2 + b^2 +2 ab - 2ab
Or area of white square= a^2 + b^2

Thus the simplified expression is
a^2 + b^2