Question

Given:

ABCD is a rectangle.



If AC = 12, then BE =

3
4
6

Answer 1

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 2

Option C is correct.

Value of BE is 6 units

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

`12 = 2BE`

Divide both sides by 2 we get;

BE = 6 units.

Therefore, the value of BE is 6 units.