Question

quadrilateral $abcd$ is a square and the length of $overline{bd}$ is 6 cm.
what is the length of $overline{ae}$?
enter your answer in the box
the length of $overline{ae} = \square$ cm

Explanation:

Step1: Recall square diagonal property

The diagonals of a square are equal in length, and they bisect each other. This means $\overline{AC} = \overline{BD} = 6$ cm, and $E$ is the midpoint of $\overline{AC}$.

Step2: Calculate length of $\overline{AE}$

Since $E$ bisects $\overline{AC}$, $\overline{AE} = \frac{1}{2} \times \overline{AC}$
$\overline{AE} = \frac{1}{2} \times 6$

Answer:

3 cm