Question

In the figure point R and SR the midpoints of QT and PT fill in the following blanks

Answer 1

Notice that we're looking at a set of similar triangles, we can say that:

$RS\parallel QP$

Now, since RS is parallel to the base of the big triangle, and also connects segments QT and PT by their midpoints, we can say that

$QP=2RS$

Therefore, if QP = 16, then RS = 8 ; and if RS = 9 , then QP = 18