Today we learned about Pythagoras’ theorem. Sadly, I can’t understand the logic behind it.

$A^{2} + B^{2} = C^{2}$$C^{2} = (5 \text{ cm})^2 + (7 \text{ cm})^2$

$C^{2} = 25 \text{ cm}^2 + 49 \text{ cm}^2$

$C^{2} = 74 \text{ cm}^2$${x} = +\sqrt{74} \text{ cm}$

Why does the area of a square with a side of $5$ cm + the area of a square with a side of $7$ cm always equal to the missing side’s length squared?

I asked my teacher but she’s clueless and said Pythagoras’ theorem had nothing to do with squares.

However, I know it does because this formula has to somehow make sense. Otherwise, it wouldn’t exist.

**Answer**

Ponder this image and you will see why your intuition about what is going on is correct:

**Attribution***Source : Link , Question Author : Community , Answer Author : Bulberage*