Question

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

Answer 1

the answer is 48, because t=8

Answer 2

Answer: The length of line segment DB is 48

Step-by-step 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+2=3t-14`

`16=2t`

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