Given that R is between S and T, find each missing measure.

RS=6, TR=4.5, TS=?

TS = RS+TR = 6+4.5 = 10.5.

To find the missing measure TS, we can use the fact that the sum of the lengths of the two smaller sides of a triangle must be greater than the length of the largest side.

In this case, we are given RS = 6 and TR = 4.5, and we need to find TS.

So, we can set up the inequality:

RS + TR > TS

Substituting the given values:

6 + 4.5 > TS

10.5 > TS

Therefore, the measure of TS must be less than 10.5 units.

Please note that without any additional information or constraints, we cannot determine the exact measure of TS. We can only say that it must be less than 10.5 units.