One of the sides of a parallelogram has the length of 5 in. Can the lengths of the diagonals be 4 in and 3 in?

Yes, the diagonals could be 6 and 7 in. In a parallelogram, only the opposite sides of the parallelogram are congruent.

Step-by-step explanation:

No

Step-by-step explanation:

1. What one needs to know

In a parallelogram, the diagonals bisect.

Triangles sides inequality, the sum of the smaller two sides in a triangle, must be greater than the measure of the larger side in that triangle.

2. Applying this knowledge

It is given that the diagonals are 4in and 3inches. Since diagonals bisect, the length of the sides of the formed triangle would be; 2in and 1.5in. If one adds these two numbers, one gets 3.5in. 3.5in is less than 5in, hence, a triangle can't have a side length of 5, and diagonals with the length of 3in and 4 in.