Constructing a Triangle Given 3 Sides.
If you get stuck, watch the video below.
- Use the Point tool to plot two points 6 cm apart.
- Use the Segment tool to link the two points.
- With A as center, draw a circle of radius 4 cm.
- With B as center, draw another circle of radius 6 cm.
- Use the Point tool to mark one of the points where the circles meet.
- Use the Polygon tool to draw a triangle through the three points.
- Use the Distance or Length tool to label the sides of the triangle.
- Use the sliders to navigate the different possible triangles that can be created.
- Draw as many different triangles as you can with the following: One side measures 4 cm, another side measures 5 cm, and one angle measures 40°.
- Draw as many different triangles as you can with the following: Two sides measure 6 cm and one angle measures 100°.
(1.) Did either of these sets of measurements determine one unique triangle?
(2.) How do you know?
- Draw as many different triangles as you can with the following: One angle measures 50°, one measures 60°, and one measures 70°.
- Draw as many different triangles as you can with the following: One angle measures 50°, one measures 60°, and one measures 100°.
Draw a 40° angle. Use a compass to make sure both sides of your angle have a length of 5 centimeters.
If you connect the ends of the sides you drew to make a triangle, is the third side longer or shorter than 5 centimeters? How can you use a compass to explain your answer?
Using only the point, segment, and compass tools provided, create an equilateral triangle. You are only successful if the triangle remains equilateral while dragging its vertices around.