Answer: Only one triangle is possible.
Step-by-step explanation:
Triangle inequality says that if sum of any two sides of the traingle is greater than the third side, then the triangle is possible.
Here,
[tex]7+6=13>9\\6+9=15>7\\7+9=16>6[/tex],
Therefore, a triangle is possible with the given measurements,
Let us assume there is another triangle with same measurement with same measurements 7 cm, 6 cm, and 9 cm.,
By SSS congruency criteria both the triangles will be congruent.
Thus, all triangles with same measurement will be congruent to each other.
Hence, only one triangle is possible.
