Question

s is the midpoint of $overline{rt}$. if $rs = 2x$ and $st = x + 8$, what is $st? simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Use mid - point property

Since S is the mid - point of $\overline{RT}$, then $RS = ST$. So, $2x=x + 8$.

Step2: Solve for x

Subtract x from both sides of the equation $2x=x + 8$. We get $2x-x=x + 8-x$, which simplifies to $x = 8$.

Step3: Find the value of ST

Substitute $x = 8$ into the expression for $ST$. Since $ST=x + 8$, then $ST=8 + 8=16$.

Answer:

16