Question

ru is the midsegment of the trapezoid pqst. if st = 39 and pq = 87, what is ru? ru =

Explanation:

Step1: Recall the midsegment formula for a trapezoid

The length of the midsegment (or median) of a trapezoid is the average of the lengths of the two parallel sides (bases). The formula is \( RU=\frac{ST + PQ}{2} \), where \( ST \) and \( PQ \) are the lengths of the two bases.

Step2: Substitute the given values into the formula

We know that \( ST = 39 \) and \( PQ = 87 \). Substituting these values into the formula, we get \( RU=\frac{39 + 87}{2} \).

Step3: Calculate the sum of the bases

First, calculate the sum of \( 39 \) and \( 87 \): \( 39+87 = 126 \).

Step4: Divide the sum by 2

Now, divide \( 126 \) by \( 2 \): \( \frac{126}{2}=63 \).

Answer:

\( 63 \)