Proof PT

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

Result




Solution:

a2=cac b2=cbc a2+b2=cac+cbc a2+b2=c(ca+cb) a2+b2=cc a2+b2=c2a^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



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