Question

gh is a midsegment of triangle def and de is a midsegment of triangle abc. if gh =1.5 cm, what is the length of segment bc?

Explanation:

Step1: Recall midsegment theorem

The midsegment of a triangle is parallel to the third side and half its length. For triangle \( DEF \), \( GH \) is a midsegment, so \( DE = 2 \times GH \).
\( DE = 2\times1.5 = 3 \) cm.

Step2: Apply midsegment theorem to triangle \( ABC \)

For triangle \( ABC \), \( DE \) is a midsegment, so \( BC = 2 \times DE \).
Substitute \( DE = 3 \) cm into the formula: \( BC = 2\times3 = 6 \) cm.

Answer:

The length of segment \( BC \) is \( 6 \) cm.