Question

question 27 of 45
lm is the mid - segment of △abc. if lm is 8 centimeters long, how long is ac?
a. 4 centimeters
b. 16 centimeters
c. 32 centimeters
d. 12 centimeters

Explanation:

Step1: Recall mid - segment theorem

The mid - segment of a triangle is parallel to the third side of the triangle and its length is half the length of the third side.
Let \(LM\) be the mid - segment and \(AC\) be the third side. So, \(LM=\frac{1}{2}AC\).

Step2: Solve for \(AC\)

Given \(LM = 8\) cm. Rearranging the formula \(LM=\frac{1}{2}AC\) to solve for \(AC\), we get \(AC = 2\times LM\).
Substitute \(LM = 8\) into the formula: \(AC=2\times8\).

Answer:

B. 16 centimeters