This problem seems easy but I have been working on it for quite some time with little clue. It is about finding number patterns, I have tried many different ways, which seem to work at first but fail later.
1. The multiplicative and additive pattern when we go around the triangle clockwise and anticlockwise, but it didn't seem to work.
2. I tried to find the difference between the number on an angle and the opposite side, it seemed to work for the first two triangle:
for the leftmost picture, 2/3-1/4=1/2-1/12=3/4-1/3=5/12.
for the middle picture, 3/10-1/10=1-4/5=3/5-2/5=1/5.
but for the rightmost picture, 11/20-1/3=13/60, 3/4-7/15=17/60.
3. I also tried:
for the leftmost picture 1/3-1/4=3/4-2/3=1/12, 1/4-1/12=2/3-1/2=1/6, 1/3-1/12=3/4-1/2=1/4
similar for middle picture,
but it does not work for the rightmost one.
4. I have also observed that the first picture is a square while the second and the third is a triangle, I tried to square and cube some numbers but couldn't find any clue.
5. I also tried to look for some patterns between the pictures instead of within the pictures but could find any clue as well.
Is it because I am not sensitive enough with numbers or for some other reasons? Could anyone help sharing some insights?
Many many thanks!