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IKMC 2012 - Grades 9-10 - Self-study Question 5

IKMC · IKMC 2012 - Grades 9-10 - Self-study

Question 5

The square ABCE has side 4 cm and the same area as triangle ECD. What is the distance from D to line g?

Editorial note: the printed labels conflict with the diagram. For this package, read the square as ABCD and the requested distance as E to line g. The original wording and diagram are retained; the solution explains the literal conflict.

Question illustration
  1. 8 cm
  2. $(4+2\sqrt3)$ cm
  3. 12 cm
  4. $10\sqrt2$ cm
  5. Depends on D