One of the sides of a parallelogram has the length of 5 in. Can the lengths of the diagonals be:

6 in and 7 in?

5 answers

Make a sketch.
The diagonals bisect each other, so you would have a triangle of
sides 5, 3, and 3.5

Since the sum of 2 of these sides is greater than the third side,
that triangle is possible, thus the parallelogram is possible.

As a matter of fact the angles can be found, first using the cosine law,
followed by the sine law
How did you get 5 as one of the sides?
Never mind it states in the question
Sometimes I dont want to be happy!
Yes pop off Dixie!