Question

Quadrilateral ABCD is a a square and the length of BE is 6 cm.What is the length of AC?

Answer 1

The answer is: 12 centimeters.

The explanation is shown below:

1. By definition, all four sides of the square are equal and the diagonals are equal too.

2. Keeping the information above on mind, you know that AC and BD are equal:

$AC=BD$

3. Then, the length of BD is twice BE. So, you can calculate it as following:

$BD=2BE$

$BD=2(6cm)\\BD=12cm$

4. Therefore, the lenght of AC is:

$AC=12cm$