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Australian AMC 2024 - Intermediate Question 10

AMC AUSTRALIA · Australian AMC 2024 - Intermediate

Question 10

Eiliyah is drawing an isosceles triangle on the number plane. It has an area of 6 square units. She has already plotted two vertices of the triangle, at(1,1) and(3,1). Which of the following could be the coordinates of the third vertex of the triangle?

Question illustration
  1. $(2,3)$
  2. $(2,4)$
  3. $(2,6)$
  4. $(2,-3)$
  5. $(2,-5)$