Question

tw is the midsegment of the trapezoid rsuv. if uv = 29 and tw = 50, what is rs? rs =

Explanation:

Step1: Recall mid - segment formula

The formula for the length of the mid - segment of a trapezoid is $TW=\frac{UV + RS}{2}$, where $TW$ is the mid - segment, $UV$ and $RS$ are the bases of the trapezoid.

Step2: Rearrange the formula to solve for $RS$

Multiply both sides of the equation $TW=\frac{UV + RS}{2}$ by 2 to get $2TW=UV + RS$. Then, subtract $UV$ from both sides: $RS = 2TW-UV$.

Step3: Substitute the given values

Given $UV = 29$ and $TW = 50$, substitute these values into the formula $RS = 2TW-UV$. So, $RS=2\times50 - 29$.

Step4: Calculate the value of $RS$

First, calculate $2\times50=100$. Then, $100−29 = 71$.

Answer:

$71$