Question

Given U, V, and W are midpoints, if TS = 42, UW = 23, and VW = 19, what is UV?

a) 38.5
b) 42
c) 23
d) 19

Answer 1

To find UV, we add the lengths of UW and VW to get TW, and since V is the midpoint of TW, UV is half of that length. The calculations suggest UV should be 21, which is not presented in the given answer choices, indicating a potential typo in the question or answers.

Step-by-step explanation:

If U, V, and W are midpoints in a segment or geometry problem, and it is given that TS = 42, UW = 23, and VW = 19, to find UV, we can consider that if U and V are midpoints, then UW and VW are both halves of the whole segment TW. Therefore, TW can be calculated by adding UW and VW together:

TW = UW + VW
TW = 23 + 19
TW = 42

Since V is the midpoint of UW, we can deduce that UV is half the length of TW. Therefore, UV would be:

UV = TW / 2
UV = 42 / 2
UV = 21

However, the given answers do not include 21, thus there seems to be a mistake. None of the given options is correct based on the provided information. It's possible that there is a typo in the question or in the given answers.