Answer: A) Lukas is incorrect. The side lengths satisfy the triangle inequality rule so one unique triangle can be drawn.
Explanation:
We know that unique triangles are triangles that do not have an identical. This means there is not another triangle that has the exact dimensions or shape.
Since 9+13=22>15
13+15=28>9
9+15=24>13
Thus given side lengths 9 in., 13 in., and 15 in. satisfy the triangle inequality.
We know that if we all three side lengths of a triangle then only one unique triangle can be drawn with the given side lengths.
Thus, A is the right answer. Lukas is incorrect. The side lengths satisfy the triangle inequality rule so one unique triangle can be drawn.