Answer :
Answer:
3,5,7
Step-by-step explanation:
to find which set it is you have to add the first too like this
3+5 >7 if greater than 7 move on too this
5+7>3 if greater move on to this
3+7>5 if greater that means it is a set you can use
3,5,7 is the set of three numbers that could be the side lengths of a triangle. This can be obtained by using the triangle inequality theorem.
What is triangle inequality theorem?
Triangle inequality theorem: The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
If ΔABC is a triangle with sides a, b and c, then it should satisfy the following conditions, a+b>c
b+c>a
a+c>b
Which is the required set of three numbers?
Use the triangle inequality theorem in each set,
- Set 1: 3,5,9
3+5=8<9, does not satisfy the theorem
- Set 2: 2,4,6
2+4=6, does not satisfy the theorem
- Set 3: 2,4,8
2+4=6<8, does not satisfy the theorem
- Set 4: 3,5,7
3+5=8>7
3+7=10>5
5+7=12>3, this set satisfies the theorem
Hence 3,5,7 is the set of three numbers that could be the side lengths of a triangle.
Learn more about triangle inequality theorem here:
brainly.com/question/12435400
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