Question

find tm and ms given that m is the midpoint of the segment.

Explanation:

Step1: Recall mid - point property

The mid - point of a line segment divides the segment into two equal parts. If the length of the line segment $TS$ is $15$ and $M$ is the mid - point of $TS$, then $TM=MS$.

Step2: Calculate lengths

Since $TM + MS=TS$ and $TM = MS$, and $TS = 15$, we have $2TM=15$ or $2MS = 15$. Solving for $TM$ and $MS$, we get $TM=\frac{15}{2}=7.5$ and $MS=\frac{15}{2}=7.5$.

Answer:

TM = 7.5, MS = 7.5