Question

in the triangle xyz, lm is the midsegment. find the length of yz.
3.6 cm
○ 7.2 cm
○ 7.4 cm
○ 7.6 cm
○ 7.8 cm

Explanation:

Step1: Recall Midsegment Theorem

The midsegment of a triangle is parallel to the third side and half as long. So \( LM=\frac{1}{2}YZ \).

Step2: Solve for \( YZ \)

Given \( LM = 3.6\space\text{cm} \), multiply both sides by 2: \( YZ = 2\times LM \).
Substitute \( LM = 3.6 \): \( YZ = 2\times3.6 = 7.2\space\text{cm} \).

Answer:

7.2 cm