Question 109
The lengths of the diagonals of the faces of a cuboid are $|XY| = 8~\mathrm{cm}$, $|YZ| = 9~\mathrm{cm}$ and $|ZX| = \sqrt{55}~\mathrm{cm}$ (see the figure). How many centimetres long is the space diagonal of this cuboid?
(A) $\sqrt{90}$
(B) 10
(C) $\sqrt{120}$
(D) $\sqrt{200}$
(E) 20
(A) $\sqrt{90}$
(B) 10
(C) $\sqrt{120}$
(D) $\sqrt{200}$
(E) 20