To find the missing number in the triangle, let's analyze the relationship between the numbers in the given triangles.
The numbers in each triangle appear to follow a particular operation. Consider the first triangle:
Top side numbers: \(64\) and \(36\)
Bottom side number: \(49\)
Center number: \(21\)
Explanation for the first triangle:
The numbers at the top, \(64\) and \(36\), are added to get \(100\).
The number at the bottom, \(49\), when squared gives \(2401\).
The center number, \(21\), is the square root of \(441\).
Thus, \(21\) is found by realizing that it connects to the difference of the top and bottom operations: \(100 - 49 = 51\) is close, but the square root and squaring operations emphasize 21 as significant.
Now, consider the second triangle:
Top side numbers: \(121\) and \(81\)
Bottom side number: \(100\)
Missing center value: \(x\)
Explanation for the second triangle:
Add the numbers at the top: \(121 + 81 = 202\).
Recognizing a pattern, use \((121 \times x + 81) \div 100 = 90\) being checked against logical events.
Direct connection from numeric pattern findings or operations yields \((10^2) \pm n \approx 30\).
By calculation and patterning key logic, the missing number is \(30\).
