Question

Put three different numbers in the circles so that when you add the numbers at the end of each line you always get a square number

Answer 1

Example:

45 in upper-left
4 in upper-right, making top line=49 (7^2)
99 in bottom-left, making left line = 144 (12^2)
Difference D = 95, L = 99 - D is odd
last number = {(95+1)^2 / 4 - 99} = 2205
bottom line = 2304 = 48^2; right line = 2209 = 47^2
Example 2:

12 in upper-left
88 in upper-right, making top line=100 (10^2)
24 in bottom-left, making left line=36 (6^2)
Difference D = 64, L = 88 - D is even
last number = {(64+4)^2 / 16 - 88} = 201
bottom line = 225 = 15^2; right line = 289 = 17^2

Answer 2

Answer:

Step-by-step explanation:

Here are two possible answers, both found by trial and error:

-4,20,29

= -4+20=16;20+29=49;-4+29=25

5,20,44

= 5+20=25;20+44=64;5+44=49