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5. use the rectangle below: if ec = 13, find bd.

Question

  1. use the rectangle below: if ec = 13, find bd.

Explanation:

Step1: Recall rectangle diagonal property

Diagonals of a rectangle are equal and bisect each other. So, \(AC = BD\), and \(EC = \frac{1}{2}AC\).

Step2: Calculate AC

Given \(EC = 13\), \(AC = 2 \times EC = 2 \times 13 = 26\).

Step3: Find BD

Since \(AC = BD\), \(BD = 26\).

Answer:

26