Final answer:
To find a triangle with an area of at least 6 units squared and a perimeter of at least 10 units, one example of a triangle satisfying the given conditions is (2, 4, 5).
Step-by-step explanation:
To find a triangle with an area of at least 6 units squared and a perimeter of at least 10 units, we need to consider different combinations of side lengths. Let's start by assuming one side length as 2 units. In this case, we can use the triangle inequality theorem to determine the possible range of the other two sides. Based on the theorem, the sum of any two sides must be greater than the third side. By trial and error, we can find that the other two side lengths can be 4 units and 5 units, resulting in an area of 6 units squared and a perimeter of 11 units. Therefore, one example of a triangle satisfying the given conditions is (2, 4, 5).