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In trapezoid ABCD, BC = EF = 6, AF = DE = 3, and
AB = CD = 5. If the area of a trapezoid is given by
then which of the following is the area of trapezoid ABCD?
Title
Pythagorean Trapezoid Area
Your Result
Correct
Difficulty
Medium
Your Pace
0:02
Others' Pace
1:34
Video Explanation
Text Explanation
We have most of the measurements, but we need the height. Look at triangle ABF, the side triangle on the right. We know that AB = 5 and AF = 3, so this has sides {3, _, 5}. Since ABF is a right triangle, it must be a 3-4-5 triangle. For this test, you absolutely have to recognize the 3-4-5 triangle, because it almost guaranteed to come up at least once on the test. Here, in triangle ABF, the missing side, BF = 4. That's the height.
The two bases are BC = 6 and AD = 3 + 6 + 3 = 12
Answer = (C)
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