Question

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

a) 3
b) 6
c) 9
d) 12

Answer 1

The least possible integer perimeter of a scalene triangle is 6.

Step-by-step explanation:

A scalene triangle has three sides of different lengths. To find the least possible integer perimeter of the triangle, we need to find the three smallest integers that can form a scalene triangle.

Let's start with the smallest possible integer lengths: 1, 2, and 3. These lengths do form a triangle, but it is an equilateral triangle, not a scalene triangle.

The next set of integers is 2, 3, and 4. These lengths also form a triangle, but it is an isosceles triangle, not a scalene triangle.

Therefore, the least possible integer perimeter of a scalene triangle is 6, so the answer is option b) 6.