Question

Triangle DEF is formed byconnecting the midpoints ofthe sides of triangle ABC.The lengths of the sides ofDEF are shown. What isthe length of AB?

Answer 1

Since the sides of the smaller triangle are midsegments, then the measure of the sides of the bigger triangle is twice the measure of the smaller triangle. Therefore, 2EF=AB.

$\begin{gathered} AB=2EF \\ AB=2(3) \\ AB=6 \end{gathered}$