Count the total number of triangles in the provided diagram.
Show answer & explanation
Correct answer: A
Explanation
A simple method to find the total number of triangles in a square divided by intersecting lines through the center:
• Small triangles (1 region each): Numbered 1 to 8 = 8
• Medium triangles (2 regions each): Combining two adjacent small triangles along each side of the square (Apex at the center) = 4
• Large triangles (4 regions each): Halves of the square formed by the two main diagonals = 4
Total number of triangles = 8 + 4 + 4 = 16
Shortcut rule: For a square divided into n equal parts at the center, the total number of triangles is 2 × n = 2 × 8 = 16.
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