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vovangra [49]
2 years ago
11

In how many ways can we choose one number from the set $\{1,2,3\}$, one number from the set $\{4,5,6\}$, and one number from the

set $\{7,8,9\}$ such that the three could be the sides of a nondegenerate triangle
Mathematics
1 answer:
statuscvo [17]2 years ago
3 0

Using triangle concepts, it is found that there are 3 ways to choose a number from each set such that the three could be the sides of a nondegenerate triangle.

<h3>What is the condition for 3 lengths to represent a triangle?</h3>

In a triangle, the sum of the lengths of the two smaller sides has to be greater than the length of the greater side.

In this problem, the possible lengths are:

  • 2, 6 and 7.
  • 3, 5 and 7.
  • 3, 6 and 8.

Hence, there are 3 ways to choose a number from each set such that the three could be the sides of a nondegenerate triangle.

You can learn more about triangle concepts at brainly.com/question/25645873

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For this case we need to find the following integral:

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And that would be our final answer.

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