Respuesta :

6
AC is a diagonal and so is BD.
E is the center/mispoint
BE is half of BD which is 12 since it's equal to AC
12/2... 6

Answer:

Option C is correct.

Value of BE is 6 units

Step-by-step explanation:

Properties of the rectangle:

  • Opposite side of the rectangle are same.
  • Each angle of the rectangle is 90 degree
  • Opposite angles of the rectangle are same.
  • Diagonals of the rectangle are equal.

In rectangle ABCD:

Given that: AC = 12 units

Diagonals of ABCD are: AC and BD

By properties of rectangle:

BD = AC = 12 units.

We have to find the value of BE.

E is the point of intersection that divide the diagonal in equal parts.

BD = BE+ED

Since, ED = BE { by properties of rectangle}

then;

BD = 2BE

Substitute the given values we have

[tex]12 = 2BE[/tex]

Divide both sides by 2 we get;

BE = 6 units.

Therefore, the value of BE is 6 units.

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