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SpyIntel [72]
2 years ago
7

Which of the following sets of numbers could represent the three sides of a triangle?

Mathematics
1 answer:
goldfiish [28.3K]2 years ago
4 0

Answer:

{14,28,39}

Step-by-step explanation:

By the Triangle Inequality Theorem, if given side lengths a, b, and c, where c is the longest side of the triangle, then a+b\geq c holds true.

For the first set of numbers, 12+16\ngeq29, so it doesn't represent the three sides of a triangle

For the second set of numbers, 14+21\ngeq36, so it doesn't represent the three sides of a triangle

For the third set of numbers, 14+28\geq39, so it does represent the three sides of a triangle

For the fourth set of numbers, 8+14\ngeq24, so it doesn't represent the three sides of a triangle

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Hi, the illustration for the problem is a right triangle with:

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So, we can use Pythagoras formula:

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