QuestionJuly 15, 2025

If the bases of an isosceles trapezoid have lengths of 19 and 38, what is the length of the median? A. 28.5 units B. 9.5 units C. 19 units D. 57 units

If the bases of an isosceles trapezoid have lengths of 19 and 38, what is the length of the median? A. 28.5 units B. 9.5 units C. 19 units D. 57 units
If the bases of an isosceles trapezoid have lengths of 19 and 38, what is the
length of the median?
A. 28.5 units
B. 9.5 units
C. 19 units
D. 57 units

Solution
4.7(118 votes)

Answer

A. 28.5 units Explanation 1. Identify the formula for the median of a trapezoid The median (or midsegment) of a trapezoid is the average of the lengths of the two bases. **Formula:** \text{Median} = \frac{\text{Base}_1 + \text{Base}_2}{2} . 2. Calculate the median Substitute the given base lengths into the formula: \text{Median} = \frac{19 + 38}{2} = \frac{57}{2} = 28.5.

Explanation

1. Identify the formula for the median of a trapezoid<br /> The median (or midsegment) of a trapezoid is the average of the lengths of the two bases. **Formula:** $ \text{Median} = \frac{\text{Base}_1 + \text{Base}_2}{2} $.<br />2. Calculate the median<br /> Substitute the given base lengths into the formula: $\text{Median} = \frac{19 + 38}{2} = \frac{57}{2} = 28.5$.
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