What is the pattern in the number triangle puzzle with vertices 4, 8, 2 and center 34?

Question

ScanSolve AI Tutor · Accepted Answer

To solve this number puzzle, we need to find the relationship between the numbers at the vertices of the triangle and the number in the center.

Identify the numbers given in the puzzle.
The numbers at the vertices are 4, 8, and 2. The number in the center is 34.
Formulate a hypothesis for the pattern.
Let's test if multiplying the two top numbers and then adding the bottom number yields the center number.
The top-left number is 4.
The top-right number is 8.
The bottom number is 2.
The center number is 34.
Apply the hypothesized pattern using the given numbers.
Multiply the top-left number by the top-right number:
$4 \times 8 = 32$
Now, add the bottom number to this product:
$32 + 2 = 34$
Verify the result.
The calculated result, 34, matches the number in the center of the triangle. Therefore, the pattern is consistent.

The pattern is: $(\text{Top-left number} \times \text{Top-right number}) + \text{Bottom number} = \text{Center number}$ .

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