Answer:
Region C Area = [tex]\pi (\frac{c}{2} )^{2} = \frac{\pi c^{2} }{8} \\[/tex]
Region B Area = [tex]\pi (\frac{b}{2})^2 = \frac{\pi b^2}{8}[/tex]
Region A Area = [tex]\pi (\frac{a}{2})^2 = \frac{\pi a^2}{8}[/tex]
[tex]\frac{\pi c^2}{8} + \frac{\pi b^2}{8} = \frac{\pi a^2}{8}[/tex]
(Now divide the whole equation by 8):
[tex]\pi c^2 + \pi b^2 = \pi a^2[/tex]
(Now divide the whole equation by [tex]\pi[/tex]):
[tex]c^2 + b^2 = a^2[/tex]
This is what I have got up until but I don't know if that answers the actual question.
Hope it helps.
