Math CentralQuandaries & Queries


Question from Amanda, a student:

Consider a square with side s, diagonal d, area A and perimeter P.

a) express the diagonal in terms of the side.
b) express the area in terms of the diagonal.


a) Think about Pythagoras' Theorem. Where is there a right-angled
triangle in here? How would Pythagoras relate the diagonal to the
side length?

b) Using the equation you derived from the answer to (a), solve for
the side length squared. The side length squared is the area A of the
square of course.

Stephen La Rocque.

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