Question

if the bases of an isosceles trapezoid have lengths of 13 and 26, what is the length of the median? a. 19.5 units b. 39 units c. 6.5 units d. 13 units

Explanation:

Step1: Recall the formula for the median of a trapezoid

The formula for the length of the median \(m\) of a trapezoid is \(m=\frac{b_1 + b_2}{2}\), where \(b_1\) and \(b_2\) are the lengths of the bases.

Step2: Substitute the given values into the formula

Given \(b_1 = 13\) and \(b_2=26\), we substitute into the formula: \(m=\frac{13 + 26}{2}\).
First, calculate the sum in the numerator: \(13+26 = 39\).
Then, divide by 2: \(m=\frac{39}{2}=19.5\).

Answer:

A. 19.5 units