The Right Triangle
I. Investigation:
1) What is a triangle?
2)What are the characteristics of a right triangle?
3) How many degrees are in a triangle?
4) Identify the legs, hypotenuse and vertices of a right triangle.

II. Creating a right triangle in Sketchpad:

1) Open sketchpad.

2. Select the tool to create a segment.
Select the segment straightedge tool.
If the ray or line is selected, press the mouse over the straightedge tool until the three selections appear. Choose the straightedge.

3. Draw a segment.
Target the mouse on the document.
Press the mouse button and drag until the segment is a comfortable length. Release the mouse button.

4. Create a ray.
Select the ray tool.
Press the mouse over the straightedge tool until the menu appears.
Move the mouse to the ray tool until it is selected. Release the mouse.


Put the mouse over the RIGHT endpoint of the segment and drag the mouse until it highlights the left endpoint.
Release the mouse.


5. Create a point on the ray.
Select the point tool.
That is the tool with the dot.

Click on the ray to create a point.

6. Create the other leg.
Select the right endpoint.
From the top menu, select Transform, Mark Center.
The right endpoint will flare up.
Note: You can also mark the endpoint by double clicking on the endpoint.
Select the point you created on the ray.
From the top menu, select Transform, Rotate.

Select Rotate, 90 degrees. Now you have a third point.

Select the straightedge tool and segment tool from the menu. Point the mouse over the upper right endpoint and drag to the lower right endpoint.

7. Hide the ray. Select the selection tool - the tool that looks like an arrow. Select the ray. From the top menu select >Display >Hide Ray

8. Hide the extraneous point. Select the point and again from the top menu select >Display >Hide Point.

9. Complete the triangle. Use the straightedge tool to create the hypotenuse.

10. Save your work.

III. Further Investigations:

1. Add the angles of your triangle.
2. What is the sum? With the select tool (arrow), pull a vertex to change the shape of the triangle. What is the sum now?
3. Calculate the perimeter and area of your triangle.
4. Draw another type of triangle. Discuss similarities/differences?
5. Area – how about labeling the sides a, b, and c and then writing an equation to determine area.
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