Proof PT

Can you easy prove Pythagoras theorem using Euclidean theorems? If so, do it.

Result

Yes

No

Solution:

$$\begin{gathered} a^2=c_a\cdot c \\ {b}^2=c_b\cdot c \\ {a}^2+b^2=c_a\cdot c+c_b\cdot c \\ {a}^2+b^2=c\cdot (c_a+c_b) \\ {a}^2+b^2=c\cdot c \\ {a}^2+b^2=c^2 \end{gathered}$$

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