Question

1. in square abcd, what is the length of \\( \overline{bd} \\)?

Explanation:

Step1: Properties of square diagonals

In a square, the diagonals are equal in length and bisect each other. So \(AC = BD\), and \(AO=OC\), \(BO = OD\).

Step2: Calculate the length of \(BD\)

Given \(OC = 4.25\ \text{cm}\), then \(AC=2\times OC\). Since \(AC = BD\), \(BD = 2\times4.25=\boldsymbol{8.5}\ \text{cm}\).

Answer:

\(8.5\ \text{cm}\)