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2 years ago

13

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?

1 answer:

abruzzese [7]2 years ago

5 0

Answer:

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:

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.

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