Question

1. uv is a median of trapezoid qrst. find each measure.

Explanation:

Step1: Recall the formula for the median of a trapezoid

The formula for the length of the median \(UV\) of a trapezoid with bases \(QR\) and \(TS\) is \(UV=\frac{QR + TS}{2}\).

Step2: Substitute the values of \(QR\) and \(TS\) into the formula

Given \(QR = 11\) and \(TS=15\), we substitute these values into the formula: \(UV=\frac{11 + 15}{2}\).

Step3: Calculate the value of \(UV\)

First, add the values in the numerator: \(11+15 = 26\). Then divide by 2: \(\frac{26}{2}=13\).

Answer:

The length of the median \(UV\) is \(13\).