Question

One of the sides of a parallelogram has the length of 5 in. can the lengths of the diagonals be: 4 in and 6 in?

PLEASE PROVIDE AN EXPLANATION

Answer 1

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

Explanation:

In a parallelogram, the diagonals bisect each other, so you can set the labeled segments equal to one another and then solve for . \displaystyle 20 - 3x = 2x - 4 \rightarrow 24 = 5x \rightarrow 4.8 = x. Then, substitute 4.8 for in each labeled segment to get a total of 11.2 for the diagonal length.