3 , 3 , 2 is the set of three numbers could be the side lengths of a triangle ⇒ answer C
Step-by-step explanation:
There is a fact in any triangle:
The sum of the lengths of the smallest two sides must be greater than
the length of the longest side
To find the set of 3 numbers could be the side lengths of a triangle
- Find the smallest two numbers
- Add them
- Compare the sum with the largest number, if the sum is greater than the largest number then the set could be the side length of a triangle
A) The set of the three numbers is 5 , 5 , 10
∵ The smallest numbers are 5 , 5
∵ 5 + 5 = 10
∵ The largest number is 10
∴ The sum of the smallest 2 numbers = the largest number
∴ The set of the three numbers could not be the side lengths of a Δ
B) The set of the three numbers is 5 , 5 , 14
∵ The smallest numbers are 5 , 5
∵ 5 + 5 = 10
∵ The largest number is 14
∴ The sum of the smallest 2 numbers < the largest number
∴ The set of the three numbers could not be the side lengths of a Δ
C) The set of the three numbers is 3 , 3 , 2
∵ The smallest numbers are 2 , 3
∵ 2 + 3 = 5
∵ The largest number is 3
∴ The sum of the smallest 2 numbers > the largest number
∴ The set of the three numbers could be the side lengths of a Δ
D) The set of the three numbers is 3 , 3 , 8
∵ The smallest numbers are 3 , 3
∵ 3 + 3 = 6
∵ The largest number is 8
∴ The sum of the smallest 2 numbers < the largest number
∴ The set of the three numbers could not be the side lengths of a Δ
3 , 3 , 2 is the set of three numbers could be the side lengths of a triangle
Learn more:
You can learn more about triangles in brainly.com/question/12985572
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