If UV is 4 and UT is 6.25, what is UW? Round to the nearest thousandth.
Note that triangle UVW is similar to triangle UWT
Therefore
UV / UW = UW / UT
4/ UW = UW / 6.25
So
UT * UV = UW * UW
6.25 * 4 = UW^2
25 = UW^2 take the positive root
5 = UW
