Pythagoras theorem doesn't need an introduction and has lot of relevance in day to day applications and not just a mere theorem
Just made an attempt to look at some of the existing Pythagoras pairs to see if they throw some interesting patterns when we bring a cube into picture
Here you go...
a) 12 ^ 2 + 5 ^ 2 = 169 which is 13 ^ 2. Now add 3 ^ 3 to 13 ^ 2 --> 13 ^ 2 + 3 ^ 3 = 196 which is 14 ^ 2
b) 24 ^ 2 + 7 ^ 2 = 625 which is 25 ^ 2. Now add 6 ^ 3 to 25 ^ 2 --> 25 ^ 2 + 6 ^ 3 = 841 which is 29 ^ 2
Can someone figure out more patterns of this nature?
Just made an attempt to look at some of the existing Pythagoras pairs to see if they throw some interesting patterns when we bring a cube into picture
Here you go...
a) 12 ^ 2 + 5 ^ 2 = 169 which is 13 ^ 2. Now add 3 ^ 3 to 13 ^ 2 --> 13 ^ 2 + 3 ^ 3 = 196 which is 14 ^ 2
b) 24 ^ 2 + 7 ^ 2 = 625 which is 25 ^ 2. Now add 6 ^ 3 to 25 ^ 2 --> 25 ^ 2 + 6 ^ 3 = 841 which is 29 ^ 2
Can someone figure out more patterns of this nature?
No comments:
Post a Comment