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?

No, the lengths of the diagonals cannot be  4 in and 3 in.

Step-by-step explanation:

The parallelogram law which is also known as  parallelogram identity states that the sum of the squares of the lengths of the four sides of a parallelogram equals the sum of the squares of the lengths of the two diagonals.

According to the  law,In the following figure

----------------------(1)

In the question it is stated that,

one side is 5 inches. So lets assume AB = 5

The Diagonals are 4 and 3 inches

Let AC be 4 inches and BD be 3 inches

Substituting the given values in (1)

Now this is not possible and does not satisfy the parallelogram ,Thus the diagonals cannot be 3 inches and 4 inches

answer: the answer is 23

step-by-step explanation: