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Learn about the properties of trapezoids, including how to calculate their area using the height, bases, and median. Explore the formulas and theorems related to trapezoids for a deeper understanding.
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Section 11-3 Areas of Trapezoids
Theorem 11-5 • The area of a trapezoid equals half the product of the height and the sum of the bases.
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An altitude of a trapezoid is any segment perpendicular to the line containing a base from a point on the opposite base.
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Since the bases are parallel, all altitudes have the same length, called the height of the trapezoid.
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D C A B E F Median of a trapezoid • The segment containing the midpoints of the legs
*Notice how is used in the area formula! Formula:
Therefore, we can say the area of a trapezoid = median x height Formula: