techmathi - 3.6 - the triangle inequality theorem
TRANSCRIPT
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1 65°
105°
Bell Ringer
23
1. Find <1.
2. Find <2.
3. Find <3.
4. Find < 4.
4
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Triangle Inequality Theorem- the sum of the lengths of any two
sides of a triangle is greater than the length of the third side
XY + YZ > XZ
YZ + XZ > XY
XZ + XY > YZ
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Determine if a triangle can be constructed using side lengths of 24 feet, 27 feet and 25 feet.
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Determine if a triangle can be constructed using side lengths of 8.6 feet, 4.4 feet and 3.8 feet.
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Determine if a triangle can be constructed using side lengths of 3.8 meters, 5.4 meters and 6.1 meters.
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Determine if a triangle can be constructed using side lengths of 3 meters, 4 meters and 5 meters.
Determine if a triangle can be constructed using side lengths of 5 feet, 12 feet and 7 feet.
Determine if a triangle can be constructed using side lengths of 24 meters, 25 meters and 27 meters.
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Writing Inequalities
Given the lengths of two sides of a triangle.The length of the third side is unknown
Example 1:5.6 cm, 9.1 cm
Example 2:7 in, 10 in
Example 3:6.8 in, 13.4 in
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You try 2!
Given the lengths of two sides of a triangle.The length of the third side is unknown
Example 1:5.1 cm, 10.8 cm
Example 2:3 in, 12 in
Example 3:2.2 in, 7.1 in
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80 m
iles
100 miles
What is the longest that the side can possibly be?
62 m
iles
91 miles
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90 fe
et
105 feet
What is the longest that the side can possibly be?
37m
iles
82 miles
You try 3!