### Brain Teasers

# Triangle

A scalene triangle has integer lengths. What is the least possible integer perimeter of this triangle?

### Answer

9 units; 2, 3, and 4. In any triangle, the sum of any two sides must be greater than the 3rd side. Scalene means that each side of the triangle has a different length. Knowing that, a triangle with sides 1, 2, and 3 is impossible because 1+2=3, which pretty much makes it a straight line. Moving on, a triangle with sides 2, 3, and 4 is possible, because 2+3>4. Therefore, the perimeter is 9.Hide Answer Show Answer

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