# What is the length of line segment DB? 20 24 48 68

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## Question:

What is the length of line segment DB?
20
24
48
68 Answer: The length of line segment DB is 48

Explanation:

Given:, Parallelogram ABCD, with:

AE = t+2 , EC = 3t – 14 , DE = 2t + 8

To find = DB =?

Solution: In parallelogram ABCD

AE = EC  (In the parallelogram, diagonal bisect each other)  t = 8

DE = 2t + 8 = 2 × 8 + 8 =24

DE = EB (In the parallelogram, diagonal bisect each other)

DB = DE + EB = 24 + 24 = 48

The length of line segment DB is 48

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