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Calculate the perpendicular height of the pyramid.
Mathematics 0580 · IGCSE · Pythagoras' theorem and trigonometry in 3D
Pythagoras' theorem and trigonometry in 3D — practice question
A pyramid with a square base $ABCD$ is shown in the diagram. Every sloping edge of the pyramid has length 20 cm, and $AC = 17$ cm. The figure is marked NOT TO SCALE. The sketch shows vertex $V$ at the top, the base points $A$, $B$, $C$, $D$, one sloping edge labelled 20 cm, and the diagonal $AC$ labelled 17 cm.