Understanding Triangles: Construction and Properties
Explore the construction and properties of triangles, including SAS and ASA triangles, as well as the construction of SSS triangles. Learn how to draw triangles based on given side lengths and angles. Discover the methods for constructing triangles accurately and understanding their characteristics.
Download Presentation
Please find below an Image/Link to download the presentation.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author. Download presentation by click this link. If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.
E N D
Presentation Transcript
Last lesson we looked at how to draw triangles given two sides and an included angle: A These are referred to as SAS triangles. Side, Angle, Side
We also looked at how to draw triangles given two angles and a side: A A These are referred to as ASA triangles. Angle, Side, Angle
Consider the Side, Side, Side triangle SSS Which piece of information would you start with?
Consider the Side, Side, Side triangle SSS If these angles are unknown, how can we draw the triangle?
Construct a triangle of side lengths 8 cm, 7 cm and 6 cm 1. Draw a straight line 8 cm long. Make sure you label the line. B A 8 cm
Construct a triangle of side lengths 8 cm, 7 cm and 6 cm 2. Set the compass to 7 cm. Place the point at one end of the line and draw an arc. B A 8 cm
Construct a triangle of side lengths 8 cm, 7 cm and 6 cm 3. Set the compass to 6 cm. Place the point at the other end of the line and draw an arc. B A 8 cm
Construct a triangle of side lengths 8 cm, 7 cm and 6 cm 4. Draw straight lines from A and B to the point of intersection. Keep the construction lines. 7 cm 6 cm B A 8 cm
Constructing SSS triangles Construct a triangle of side lengths 7 cm and 9 cm and 4 cm 4 cm 7 cm B A 9 cm Is this the only way we can draw this triangle?
In your books.. 1) Construct this triangle. Measure angle ABC. 2) An isosceles triangle has 2 sides of length 8cm and one side of length 4cm. Find the sizes of all the angles in the triangle. 3) Draw an equilateral triangle with sides of length 4cm.
In your books.. 4) Draw triangles with lengths 3, 4, 5 cm and 5, 12, 13 cm. What type of triangles are these? 5) Draw a triangle with lengths 3, 4 and 7 cm. What happens? Can you explain why? 6) Draw a triangle with lengths 3, 4 and 8 cm. What happens this time? Can you explain why? 7) Can you make a conjecture about what must be true in order to draw an SSS triangle?
