3­2 The Triangle Inequality Theorem.notebook
October 19, 2016
3­2
The Triangle Inequality Theorem
Take your piece of pasta and break it into 3 pieces. The pieces do not have to be the same size. Measure the lengths of the 3 pieces
Piece 1 (cm)
Piece 2 (cm)
Piece 3 (cm)
Forms a Triangle? (Y or N)
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3­2 The Triangle Inequality Theorem.notebook
October 19, 2016
The triangle inequality theorem ­ The sum of the lengths of any 2 sides of a triangle is greater than the length of the third side.
Can you determine if it is possible to form a triangle using each the set of segments with the given measurements.
1.) 10 yds, 15 yds, 12 yds
2.) 13.2 yds, 6.6 yds, 6.6 yds
3.) 2 yds, 3yds, 6yds
Across from the largest angle is the largest side AND across from the smallest angle is the smallest side.
Without measuring the angles, list the angles of each triangle in order from least to greatest measure.
A
4.)
4.3 cm
B
3.6 cm
C
5.1 cm
Write an inequality that expresses the possible lengths of the unknown side of each triangle.
5.) What could be the length of DE?
D
6 cm
E
7 cm
F
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3­2 The Triangle Inequality Theorem.notebook
October 19, 2016
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