Answer:
Option (3)
Step-by-step explanation:
From the picture attached,
Area of white square = (side)²
Length of each side of the white square = (b - a)
Area of white square = (b - a)²
Area of each right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(a)(b)[/tex]
Area of four right triangles = Area of big square - Area of white square
= [tex]c^{2}-(b-a)^2[/tex]
Since area of 4 right triangles = 4(Area of each right triangle)
c² - (b - a)² = [tex]4[\frac{1}{2}(ab)][/tex]
Therefore, Option (3) will be the answer.
