Area of trapezoid on the coordinate plane | High School Math | Khan Academy | Summary and Q&A

TL;DR
The video explains how to find the area of a trapezoid on a coordinate plane using the formula: Area = (base1 + base2) * height / 2.
Key Insights
- 🥡 The area of a trapezoid can be found by taking the average of the lengths of the bases and multiplying it by the height.
- ❓ The distance formula, derived from the Pythagorean Theorem, is used to find the lengths of the bases.
- 🗯️ The height of the trapezoid is represented by an altitude that intersects one of the bases at a right angle.
Transcript
Read and summarize the transcript of this video on Glasp Reader (beta).
Questions & Answers
Q: How is the area of a trapezoid calculated?
The area of a trapezoid is calculated by taking the average of the lengths of the bases and multiplying it by the height. The formula for the area is (base1 + base2) * height / 2.
Q: How can the lengths of the bases be determined?
The lengths of the bases can be determined using the distance formula, which is an application of the Pythagorean Theorem. By calculating the change in x and change in y coordinates, the lengths can be found.
Q: How is the height of the trapezoid determined?
The height of the trapezoid is represented by an altitude that intersects one of the bases (segment CL) at a right angle. It can be found by calculating the length of the hypotenuse of a right triangle formed by the change in x and change in y coordinates.
Q: What is the simplified form of the area formula?
The simplified form of the area formula is (base1 + base2) * height / 2, which can be further simplified by multiplying the lengths of the bases and height.
Summary & Key Takeaways
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The formula for finding the area of a trapezoid is the average of the lengths of the bases multiplied by the height.
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Base 1 is the length of segment CL, Base 2 is the length of segment OW, and the height is the altitude of the trapezoid.
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To find the lengths of the segments, the distance formula (an application of the Pythagorean Theorem) is used.
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