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13. b is the midpoint of $overline{ac}$, d is the midpoint of $overline…

Question

  1. b is the midpoint of $overline{ac}$, d is the midpoint of $overline{ce}$, and ae = 29. find bd.

29
13.5
14.5
58

Explanation:

Step1: Apply mid - point theorem

In \(\triangle ACE\), since \(B\) is the mid - point of \(AC\) and \(D\) is the mid - point of \(CE\), by the mid - point theorem, \(BD=\frac{1}{2}AE\).

Step2: Substitute the value of \(AE\)

Given \(AE = 29\), then \(BD=\frac{1}{2}\times29 = 14.5\).

Answer:

14.5