Tutorial on how to use Geometric Sketchpad to construct points inside a triangle

How to construct the points inside the triangle in the geometry sketchpad? PHP editor Yuzi brings you a detailed tutorial on this construction technique today. Have you ever faced difficulties constructing a triangle in Geometry Sketchpad and need to add points inside the triangle? This tutorial will guide you step by step on how to easily construct points within a triangle, making your geometry sketchpad drawings more accurate and convenient.

1. Construct triangle ABC (the direction of line segment AB is from left to right), and construct point D on side AB.

2. Select point D, [Measurement] - [Point Value] to get the point value measurement value (D is the active point of the trajectory). [Data] - [New Parameter], the name is n, the value is 10, and the unit is [None]. (Number of internal trajectory lines)

3. Do the calculations in the figure below. The first calculation expands the point value by n times to facilitate rounding. The second calculation rounds the first calculated value and divides it by n to obtain the integer point value that is smaller than but closest to the D point value (between 0 and 1 to determine the position of the trajectory segment). The third calculation yields the rounded tail (between 0 and 1 as the scaling of the trajectory point on a line segment parallel to edge BC).

4. Double-click point A to mark the center, select point B, [Transform] - [Zoom], click the second calculated value in step 3 for the zoom value, and get Point E. Select point E and side BC, [Construct]-[Parallel Line], and construct the intersection point F of the parallel line and line segment AC.

5. Double-click point E to mark the center, select point F, [Transform] - [Zoom], click the third calculated value in step 3 for the zoom value, and get Point G.

6. Select point D and point G, [Construct]-[Trajectory], and construct point H on the trajectory.

7. Increase the value of n and increase the trajectory sampling rate. Point H is a point that can only move internally. (The larger n is, the greater the total length of the trajectory line is, and the trajectory sampling rate needs to be increased to ensure trajectory density)

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