1. We are given four triangular diagrams each divided into four smaller triangles with sets of numbers and a circled number on the side. 2. The numbers appear to be part of a pattern or calculation involving the small triangle values and the circled numbers. 3. To identify the pattern, look at each set: - First triangle: numbers 45, 7, 30 and circled 25 - Second triangle: numbers 56, 4, 35 and circled 225 - Third triangle: numbers 11, 3, 9 and circled 9 - Fourth triangle: numbers 44, 12, 6 and circled 9 4. Hypothesize that the circled number relates mathematically to the three numbers. Possible operations to consider are sums, products, differences, or averages. 5. Check for relationships: - Try sum of numbers or differences: First: 45 + 7 + 30 = 82 (not 25) Second: 56 + 4 + 35 = 95 (not 225) Third: 11 + 3 + 9 = 23 (not 9) Fourth: 44 + 12 + 6 = 62 (not 9) 6. Try multiplication: - First: 45 * 7 * 30 = 9450 (no obvious relation to 25) - Second: 56 * 4 * 35 = 7840 (no obvious relation to 225) - Third: 11 * 3 * 9 = 297 (no relation to 9) - Fourth: 44 * 12 * 6 = 3168 (no relation to 9) 7. Try looking at differences or absolute differences between numbers or squares. 8. Check for operations involving squares to get circled number: - Second triangle circled number 225 is $15^2$ - so perhaps 225 = product of two numbers or sum squared. - 56 and 4 multiplied = 224, close to 225. - Maybe the circled number is close to product of two numbers (top two or bottom two) rounded. 9. Check if circled numbers equal to product of first two numbers minus last: - For 1st triangle: (45 * 7) - 30 = 315 - 30 = 285 (not 25) 10. Try ratio or division related to last number: - For 1st triangle: 45 / 7 = 6.43, no relation 11. Without further info, it's not clearly deducible. The problem may require context to find the relationship. 12. If the circled number is the greatest common divisor (GCD) or least common multiple (LCM): - GCD of (45, 7, 30) = 1, LCM = 945 - Circled is 25, not matching 13. Since the problem is unclear, please provide more instructions or clarify the desired calculation.