Question

I am having trouble going over this question a.-c. it's over the pythagorean theorem.

Answer 1

By the diagram show, we can state that:

Equations for areas would be:

`\begin{gathered} Abigsquare=(a+b)^2 \\ A_(4triangles)=4((1)/(2)ab) \\ A_(whitesquare)=big\text{ square- 4 shaded triangles} \end{gathered}`

Then,

For the area of the white square:

`A_(whitesquare)=(a+b)^2-4((1)/(2)ab)`
`\begin{gathered} A_(whitesquare)=a^2+2ab+b^2-2ab \\ A_(whitesquare)=a^2+b^2 \end{gathered}`