Detailed method for calculating the area of ​​a trapezoid using Geometry Sketchpad

Do you want to know how to calculate the area of ​​a trapezoid using Geometry Sketchpad? Geometry Sketchpad is a dynamic mathematics software suitable for plane geometry. It can easily perform various geometric calculations and constructions. PHP editor Baicao will provide you with a detailed method for calculating the area of ​​a trapezoid using geometric sketchpad, so that you can do it with ease in study or work. Read on to learn the specific steps and techniques to easily master the trapezoid area calculation function of Geometry Sketchpad.

1. Draw the top and bottom. Open the geometry sketchpad and use the line segment tool to draw line segment AB. Use the point tool to create a point M outside line segment AB.

2. Construct parallel lines. Select point M and line segment AB, click the menu [Construction] - [Parallel Line], and pick any two points C and D on the parallel line.

3. Construct vertices. Select line CD and point M, click menu [Show] - [Hide Object].

4. Construct a trapezoid. Use the line segment tool to connect points A, C, D, and B in sequence to obtain the trapezoid ABCD.

5. Construct the height of the trapezoid. Select the line segment CD and point A, click [Construction] - [Perpendicular Line], the intersection with CD is E, select the straight line AE, click the menu [Show] - [Hide Vertical Line], and use the line segment tool to connect AE.

6. Measure the length of the line segment. Select the line segments AB, CD, and AE respectively, and select [Length] under the [Measurement] menu.

7. Calculate the area of ​​the trapezoid. Select [Calculate] from the [Data] menu, and enter the lengths of AB, CD, and AE respectively according to the trapezoid area calculation formula S=(a b)h/2 for calculation. The area of ​​the trapezoid is calculated.

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