Question

question 23 of 27
what is the length of $overline{bd}$, given that figure $abcd$ is a rectangle and $ac = 26$?
image of rectangle $abcd$ with vertices labeled $b$, $c$, $d$, $a$ (clockwise), diagonals $overline{ac}$ and $overline{bd}$ intersecting at $e$, $overline{ac}$ labeled 26
options:
a. 26
b. 6
c. 12
d. 48

Explanation:

Step1: Recall rectangle diagonal property

In a rectangle, the diagonals are equal in length. So, \( AC = BD \).

Step2: Substitute given value

Given \( AC = 26 \), by the property, \( BD = AC = 26 \).

Answer:

A. 26