Answer:
w = 6
Explanation:
Apply the midsegment theorem to find the value of w.
PR = is a midsegment of the ∆. Therefore, according to the midsegment theorem:
½(ST) = PR
ST = w + 6
PR = w
Plug in the values
½(w + 6) = w
Multiply both sides by 2
w + 6 = 2w
w + 6 = 2w
Subtract w from each side
6 = 2w - w
6 = w
w = 6