Question

if the bases of an isosceles trapezoid have lengths of 15 and 32, what is the length of the median?
a. 23.5 units
b. 17 units
c. 8.5 units
d. 47 units

Explanation:

Step1: Recall median formula

The formula for the length of the median 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 base - lengths

Given $b_1 = 15$ and $b_2=32$, we substitute these values into the formula: $m=\frac{15 + 32}{2}$.

Step3: Calculate the result

First, add the numbers in the numerator: $15+32 = 47$. Then, divide by 2: $\frac{47}{2}=23.5$.

Answer:

A. 23.5 units