### Brain Teasers

# Magic Triangles

You've heard of Magic Squares; now it's time to meet Magic Triangles.

Arrange the numbers 1 through 6 on a triangle, placing one number at each point and one number along each side between the points, such that the sum of the three numbers on any given side is equal.

Once you account for rotation/reflection, there are four unique answers; each has a different sum. See if you can find them all!

Arrange the numbers 1 through 6 on a triangle, placing one number at each point and one number along each side between the points, such that the sum of the three numbers on any given side is equal.

Once you account for rotation/reflection, there are four unique answers; each has a different sum. See if you can find them all!

### Hint

The four solutions have sum 9, 10, 11, and 12.### Answer

Sum 9 - sides are 153, 342, and 261.Sum 10 - sides are 145, 523, and 361.

Sum 11 - sides are 236, 614, and 452.

Sum 12 - sides are 426, 615, and 534.

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