Answer:
(16.5, 7.5)
Step-by-step explanation:
Given the two endpoints of a line segment AB:
![A(x_1,y_1)\text{ and B}(x_2,y_2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/nf47qrpah2orucbz33ouy263zrrg4mnbt0.png)
The midpoint of AB is derived using the formula:
![((x_1+x_2)/(2),(y_1+y_2)/(2))](https://img.qammunity.org/2023/formulas/mathematics/college/b6ezm84zxxqzwlktnyn6xpt1axi8omhbm3.png)
Given the points T(16, 2) and U(17, 13), the midpoint of TU therefore, is:
![\begin{gathered} ((16+17)/(2),(2+13)/(2)) \\ =((33)/(2),(15)/(2)) \\ =(16.5,7.5) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ivpd2brz2x89ew2uaqiutxv0wbg8hht55m.png)
The midpoint of TU is (16.5, 7.5).