Triangle Inequality Review
Presentation
•
Mathematics
•
10th - 11th Grade
•
Hard
James Gonzalez
FREE Resource
9 Slides • 9 Questions
1
Can we make a triangle?
2
Determine if 3 sides can form a triangle
Find the range for a third side of a triangle given 2 sides
3
We use uppercase letters to indicate the angles (A, B, C).
We use lowercase letters to indicate the sides (a, b, c).
Side a is opposite angle A, side b is opposite angle B, side c is opposite angle C.
4
5
Example - if the side lengths were 1, 2 and 3, they would NOT form a triangle. The sum of two smaller sides must be GREATER than the longest side.
6
7
8
Multiple Choice
Can these sides form a triangle? 2, 9, 5
Yes
No
9
Multiple Choice
Can these sides form a triangle? 6, 4, 4
Yes
No
10
Multiple Choice
Can these sides form a triangle? 22, 22, 22
Yes
No
11
Multiple Choice
Can these sides form a triangle?
6 41, 14 21, 6 21
Yes
No
12
ADD the two given sides to get the MAXIMUM length of the third side.
SUBTRACT the two given sides to get the MINIMUM length of the third side.
13
Consider that the 6 and 9 could be the 2 larger sides OR the 6 and 9 could be the 2 smaller sides.
14
Open Ended
Name a possible length for the third side of a triangle with sides 4 and 7.
15
Open Ended
Name a possible length for the third side of a triangle with sides 11 and 19.
16
Multiple Select
Which of the following could be the third side of a triangle with sides 5.2 and 7.2? Check all that apply.
21
2
9
12.4
11
17
Multiple Select
Which of the following could NOT be the third side of a triangle with sides 35 and 14? Check all that apply.
21
48
26
35
14
18
Multiple Choice
If the measures of 2 sides of a triangle are 57 and 32, what is the LEAST possible measure of the third side if the measure is an integer?
25
26
88
89
Can we make a triangle?
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