Carl is asked to draw a triangle with the following specifications:

-all sides have whole number lengths in centimeters
-the sum of the lengths of the two shortest sides equals 9 centimeters
-when the side lengths are placed in order from least to greatest, the difference in measures are equal

which of the following statements about this triangle is true?
a.
more than one triangle exists with the given conditions, and all instances must be right triangles.

b.
no triangle exists with the given conditions.

c.
exactly one triangle exists with the given conditions, and it must be a scalene triangle.

d.
more than one triangle exists with the given conditions, and all instances must be scalene triangles.