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point s is on line segment $overline{rt}$. given $rs = 10$ and $st = 7$…

Question

point s is on line segment $overline{rt}$. given $rs = 10$ and $st = 7$, determine the length $overline{rt}$.

Explanation:

Step1: Recall segment - addition postulate

Since point S is on line segment $\overline{RT}$, then $RT=RS + ST$.

Step2: Substitute given values

We know that $RS = 10$ and $ST=7$. Substituting these values into the equation $RT=RS + ST$, we get $RT=10 + 7$.

Step3: Calculate the result

$RT=17$.

Answer:

$17$