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Transcript
43 day 1 2012.notebook
November 15, 2012
Side Lengths in Triangles
• Can any three sticks form a triangle? Why or why not?
• Is it possible to have three sticks that will not form a
triangle? If so, when.
Triangle Inequalities
• We will answer these questions today:
DAY 1
Nov 12­8:44 AM
Triangle Inequality Conjecture
• The sum of the lengths of any two sides of a
triangle is ___________________ the length of
the third side.
Nov 12­8:44 AM
Ex. 1 Is it possible to have triangles with
sides length…
• 5, 2, and 8 inches?
• 3, 4 and 5 meters?
Nov 12­8:44 AM
Nov 12­8:44 AM
Side-Angle Inequality Conjecture
• In a triangle, if one side is longer than the another
side, then the angle opposite the longer side is larger
than the angle opposite the shorter side.
Nov 12­9:04 AM
Nov 12­8:44 AM
1
43 day 1 2012.notebook
Nov 12­12:18 PM
Name the shortest and longest sides of the triangle
November 15, 2012
Nov 12­9:06 AM
Name the smallest and largest angles of the triangle
Nov 12­8:44 AM
Nov 12­8:44 AM
Nov 12­8:44 AM
Nov 12­8:45 AM
Ex. 2
2