davidmilliken023 davidmilliken023
  • 21-01-2022
  • Mathematics
contestada

Question 14 of 40
In the rectangle below, AC = 36 units. What is DE?
с
E
A
B
o
A. 24
B. 18
ОО
C. 12
O
D. 36
SUBMIT
Р.
to

Question 14 of 40 In the rectangle below AC 36 units What is DE с E A B o A 24 B 18 ОО C 12 O D 36 SUBMIT Р to class=

Respuesta :

Hrishii
Hrishii Hrishii
  • 21-01-2022

Answer:

B. 18

Step-by-step explanation:

Quadrilateral ABCD is a rectangle.

Diagonals AC and BD intersect at point E.

Diagonals of a rectangle are equal in length.

[tex]\implies BD = AC[/tex]

Diagonals of a rectangle bisect each other.

[tex]\implies\frac{1}{2} BD = \frac{1}{2} AC\\\\\implies DE = \frac{1}{2} \times 36\\ \\ \implies DE = 18[/tex]

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