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# Triangle Inequalities - Mathalon

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by

## Mikkel Bjornson

on 26 November 2012

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#### Transcript of Triangle Inequalities - Mathalon

The Triangle Challenge Is this set of numbers the sides of a triangle:

15, 12, 9 yes Is this set of numbers the sides of a triangle:

20, 10, 9 No Is this set of numbers the sides of a triangle:

8.5, 6.5, 13.5 yes Is this set of numbers the sides of a triangle:

47, 28, 70 yes Is this set of numbers the sides of a triangle:

28, 41, 13 No Is this set of numbers the sides of a triangle:

5, 10, 15 No Is this set of numbers the sides of a triangle:

9, 40, 41 Yes Is this set of numbers the sides of a triangle:

12, 2.2, 14.3 No Is this set of numbers the sides of a triangle:

6, 9, 16 No Is this set of numbers the sides of a triangle:

10, 18, 10 Yes Is this set of numbers the sides of a triangle:

1, 13, 13 Yes Is this set of numbers the sides of a triangle:

2, 14, 16 No For the next problems, you need to find a range of numbers the third side could be. For example, Given sides of length 3 and 4, the third side can be what? 9 and 5 4<x<14 5 and 8 3<x<15 6 and 10 6 and 9 4<x<16 3<x<15 11 and 8 3<x<19 14 and 11 3<x<25 Name the largest angle. Angle C name the smallest angle In Triangle ABC
Given: AB = 17, BC= 21, and AC = 18
List the angles from largest to smallest C, B, A In Triangle ABC
Given: AB = 15, BC= 16, and AC = 17
List the angles from largest to smallest C, A, B List sides in order from smallest to largest AB, BC, AC Place side lengths in order from shortest to longest AB, BC, AC A B C D E F 1 3 1 3 60 55 write an inequality for the two sides not given. A B C D E F 13 8 13 8 45 35 write an inequality for the two sides not given. A B C D E F 1 3 1 3 write an inequality for the angles. 1 2 A B C D E F 4 5 4 5 write an inequality for the angles. 8 3 A B C D E F Can you write an inequality for the sides?
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