Step 1: Observing the pattern in the triangles.
In the given diagram, each triangle has numbers at the vertices. To identify the number at the missing position (denoted by the question mark), let's look for the pattern that relates the numbers in each triangle.
- In the first triangle: The sum of the numbers at the vertices, 5 + 3 = 8, and the result is 9.
- In the second triangle: The sum of the numbers at the vertices, 6 + 8 = 14, and the result is 12.
Step 2: Applying the pattern to the third triangle.
For the third triangle, we have 5 + 6 = 11. If we apply the same relationship as before, the result should be 6.
Step 3: Conclusion.
Thus, the missing number is 6, and the correct answer is (B) 6.