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Australian AMC 2017 - Intermediate Question 25

AMC AUSTRALIA · Australian AMC 2017 - Intermediate

Question 25

A square is drawn in the corner of a right-angled triangle with side lengths a, b and c, as shown. Which expression gives the ratio of the unshaded area to the shaded area in all cases?

Question illustration
  1. 1: 1
  2. c:(a+b)
  3. ab: c²
  4. (a+b)²: 2 c²
  5. c²: 2 ab