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Australian AMC 2022 - Senior Question 20

AMC AUSTRALIA · Australian AMC 2022 - Senior

Question 20

A triangular ramp is in the shape of a right-angled tetrahedron. The horizontal base is an equilateral triangle with sides 8 metres. The apex is 1 metre directly above one corner of the base, so that two faces are vertical. In square metres, what is the area of the sloping face?

Question illustration
  1. $16\sqrt3$
  2. 28
  3. $\frac{65}4\sqrt3$
  4. $4\sqrt{33}$
  5. 32