Question

find st.
st =

Explanation:

Step1: Use the mid - segment theorem

Since \(V\) is the mid - point of \(WU\) (because \(WV = 33\) and \(WU=55\), \(VU = 55 - 33=22\), but actually, the red arrow on \(SW\) and \(ST\) indicates that \(VT\) is the mid - segment of \(\triangle SWU\). The mid - segment theorem states that the mid - segment of a triangle is parallel to the third side and half its length. Also, if \(VT\) is the mid - segment, then \(ST = TU\).

Step2: Calculate \(ST\)

Given \(TU = 14\), by the property of mid - segment (a line segment joining the mid - points of two sides of a triangle), \(ST=TU\).

Answer:

\(14\)