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Understanding Trapezoid Areas and Formulas

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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Understanding 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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