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)
[tex]t+2=3t-14[/tex]
[tex]16=2t[/tex]
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
