Area of Parallelogram/Square

Theorem

The area of a square equals the product of one of its bases and the associated altitude.


Proof

From Area of Square:

$\paren {ABCD} = a^2$

where $a$ is the length of one of the sides of the square.

The altitude of a square is the same as its base.

Hence the result.

$\blacksquare$

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