Question

1. triangle def is formed by connecting the midpoints of the sides of triangle abc. the lengths of the sides of def are shown. what is the length of bc?

a 3 units
b 4 units
c 6 units
d 8 units

Explanation:

Step1: Recall midsegment theorem

The midsegment of a triangle is half the length of the third side.

Step2: Identify DE as midsegment

DE connects midpoints, so DE = $\frac{1}{2}$BC.

Step3: Calculate BC

Given DE = 4 units, BC = 2×DE = 2×4 = 8 units.

Answer:

d. 8 units