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SEAMO 2027 - Paper F - SET 06 - Self-study Question 2

SEAMO · SEAMO 2027 - Paper F - SET 06 - Self-study

Question 2

In the figure, $\angle BAD=90^\circ$ and $\angle BAA'=\angle DAA'=60^\circ$. Find the length of $AC'$. The labelled edges are $AB=1$, $AD=2$ and $AA'=3$.

Read the pictured solid as the oblique parallelepiped ABCD–A′B′C′D′. Opposite edges are parallel and equal, as indicated by the conventional diagram.

Original source figure (not to scale), with its printed mathematical labels preserved.

Question illustration
  1. $\sqrt{15}$
  2. $\sqrt{17}$
  3. $\sqrt{23}$
  4. $\sqrt{31}$
  5. None of the above