Drawing Triangles (Part 2)
Warmup
Activity #1
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.
Activity #2
Triangle Construction.
- 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?
Activity #3
Triangle Construction.
- 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°.
Challenge #1
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?
Challenge #2
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.
Quiz Time