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IKMC 2027 - Grades 7-8 - Self-study SET 17 - Thematic Batch 3 Question 4

IKMC · IKMC 2027 - Grades 7-8 - Self-study SET 17 - Thematic Batch 3

Question 4

What is the smallest number of similar right triangles, with the ratio of their two legs equal to 2:3, that can be fitted together to make a square?

Original printed choices: A) 2; B) 3; C) 4; D) 5; E) 6

Editorial task: give a valid construction and distinguish the source’s stated minimum from what the displayed construction alone proves. The automatic answer is withheld pending a complete suitable lower-bound proof.

Question illustration