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Trapezoid Areas and Formulas

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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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Trapezoid Areas and Formulas

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  1. Section 11-3 Areas of Trapezoids

  2. Theorem 11-5 • The area of a trapezoid equals half the product of the height and the sum of the bases.

  3. In a trapezoid, the bases are the parallel sides.

  4. D C A B

  5. An altitude of a trapezoid is any segment perpendicular to the line containing a base from a point on the opposite base.

  6. D C A B

  7. Since the bases are parallel, all altitudes have the same length, called the height of the trapezoid.

  8. D C A B h h h

  9. D C A B E F Median of a trapezoid • The segment containing the midpoints of the legs

  10. *Notice how is used in the area formula! Formula:

  11. Therefore, we can say the area of a trapezoid = median x height Formula:

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