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Rectangular Pyramids

Age 14 to 18

Challenge Level Yellow star

Secondary curriculum

Is it true that $p^2+q^2=s^2+r^2$ when:

the rectangle $ABCD$ and the point $V$ are in the same plane? (Working in 2D).
$ABCD$ represents a pyramid, with vertex $V$, on a rectangular base $ABCD$? (Working in 3D).

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