Find the total number of triangles in the given figure.
Show answer & explanation
Correct answer: A
Explanation
To find the total number of triangles, we can count them systematically based on their components:
• Individual (1-unit) triangles:
• Inside the left square section: 8 small triangles (2 in each of the four quadrants).
• Inside the right triangular section: 3 small triangles.
• Subtotal = 8 + 3 = 11
• Triangles formed by combining 2 units:
• Inside the square section: 3 triangles.
• Inside the right section: 1 triangle (formed by combining the two smaller upper triangles).
• Subtotal = 3 + 1 = 4
• Larger triangles (3 or more units):
• The complete right triangle (combining all units of the right section): 1 triangle.
• The large combined triangle in the square: 1 triangle.
• Subtotal = 1 + 1 = 2
Total number of triangles = 11 + 4 + 2 = 17.
Therefore, the correct option is (A).