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In the parallelogram shown, AE = t + 2, CE = 3t − 14, and DE = 2t + 8.

Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E.

What is the length of line segment DB?

20 units
24 units
48 units
68 units

Respuesta :

jugaadsingh19

Answer:

48 units

Step-by-step explanation:

MrRoyal

The length of line segment DB is 48 units

What are parallelograms?

Parallelograms are shapes with opposite parallel sides

Start by calculating the measure of t using:

AE = CE --- the diagonals

So, we have

3t - 14 = t + 2

Collect like terms

3t - t = 14 + 2

Evaluate

t = 8

The length of segment DB is calculated as;

DB = 2 * DE

So, we have:

DB = 2 * (2t + 8)

Substitute 8 for t

DB = 2 * (2* 8 + 8)

Evaluate

DB = 48

Hence, the length of line segment DB is 48 units

Read more about parallelograms at:

https://brainly.com/question/2834871

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