ANS:C - 9

Structure of the Problem:

Each triangle has three numbers, one at each vertex. The pattern involves a specific relationship between these numbers.

Explanation of the Pattern:

The pattern follows a simple arithmetic rule: the sum of the two smaller numbers equals the third number.

Step-by-Step Process:

1. Identify the Three Numbers on the Triangle:
   • Look at the numbers placed at each of the three vertices of the triangle.
2. Determine the Two Smaller Numbers:
   • Out of the three numbers, identify the two smaller ones.
3. Calculate the Sum:
   • Add these two smaller numbers together.
4. Check Against the Third Number:
   • The result of this addition should equal the third number, which is the largest of the three.

Example Walkthrough:

Let’s consider a triangle with the following numbers:

• Vertices: 3, 6, and 9

Calculation:

1. Identify the Two Smaller Numbers:
   • The two smaller numbers here are 3 and 6.
2. Sum of the Smaller Numbers: 3+6=93 + 6 = 93+6=9
3. Check the Third Number:
   • The sum of 3 and 6 equals 9, which is the third number.

Conclusion:

The pattern requires that the sum of the two smaller numbers in the triangle equals the third number. In this case, the correct answer is "9," as it follows the rule of the sum of the two smaller numbers (3 and 6) equaling the third number (9).