Question

if ln = 5, then ac = ________.

Explanation:

Step1: Recall the mid - segment theorem

The mid - segment of a triangle is parallel to the third side and half its length. Here, \(LN\) is a mid - segment of \(\triangle ABC\) (assuming \(L\) is the mid - point of \(AB\) and \(N\) is the mid - point of \(BC\)).

Step2: Apply the mid - segment formula

If \(LN\) is the mid - segment and \(AC\) is the third side, then \(LN=\frac{1}{2}AC\). Given \(LN = 5\), we can solve for \(AC\) by the formula \(AC = 2\times LN\).
Substitute \(LN = 5\) into the formula: \(AC=2\times5\).

Answer:

\(10\)