Question

question 37 of 40 in the rectangle below, ac = 36 units. what is de? a. 36 b. 12 c. 24 d. 18

Explanation:

Step1: Recall rectangle property

In a rectangle, diagonals are equal and bisect each other. So $AC = BD$ and $AE=EC$, $DE = EB$.

Step2: Calculate $DE$

Since $AC = 36$ units and $DE=\frac{1}{2}BD$, and $BD = AC$, then $DE=\frac{1}{2}\times36 = 18$ units.

Answer:

D. 18