Fill 10, 15, 20, 30, 40 and 60 in the circle below to make the product of three numbers on each side of the triangle equal

Fill 10, 15, 20, 30, 40 and 60 in the circle below to make the product of three numbers on each side of the triangle equal


The picture is as follows: (the answer is not unique)



Put 2, 3, 4, 6, 8 and 12 into the circle respectively, so that the product of three numbers on each side of the triangle is equal


2*3*4*6*8*12=24^3=8^3*3^3
12=2*2*3
6=2*3
three
3*6*12=2^3* 3^3
Product of each edge 24 * 6 = 144
The three vertices are 3 6 12
144/(3*6)=8 3*8*6
144/(6*12)=2 6*2*12
144/(3*12)=4 3*4*12
Triangle 3
8 4
6 2 12



Fill 10,15,20,30,40,60 in the six circles of the triangle, so that the product of three numbers on each side of the triangle is equal
How can a fourth grader understand?


1.5
4 2
3 1 6
Six numbers, take out the second, fourth and sixth as three vertices respectively, visually check that the lower 3 * 6 is relatively large, give a relatively small number, and then calculate to get the answer



Put the nine numbers 2-10 in the circles on the three sides of the triangle to make the sum of the numbers in the four circles on each side equal


Image processing software:
Methods: ABC was filled in the following order: 7,9,2,6,3,10,5,4,8
The sum of four numbers on each edge is 7 * 9 + 2 + 6 = 6 + 3 + 10 + 5 = 5 + 4 + 8 + 7 = 24
Please line up by yourself
Good luck and goodbye