Question

the midsegment of △abc is lm. what is the length of lm if ac is 26 inches long?
32 inches
20 inches
13 inches
52 inches

Explanation:

Step1: Recall the mid - segment theorem

The mid - segment of a triangle is parallel to the third side and half its length. In \(\triangle ABC\), \(LM\) is the mid - segment and \(AC\) is the third side.

Step2: Apply the formula

If \(LM\) is the mid - segment and \(AC\) is the third side, then \(LM=\frac{1}{2}AC\). Given \(AC = 26\) inches.
Substitute \(AC = 26\) into the formula: \(LM=\frac{1}{2}\times26\).
\(LM = 13\) inches.

Answer:

13 inches