Jeff wants to form a garden that is in the shape of a triangle. He has two lengths of fence that are 19 feet long and 12 feet long. He says he will be able to form a triangular garden with a third length of fence that is 8 feet long. Is Jeff correct or incorrect in his reasoning? Explain.

Question

Mathematics

Andrews

24 January, 07:19

Jeff wants to form a garden that is in the shape of a triangle. He has two lengths of fence that are 19 feet long and 12 feet long. He says he will be able to form a triangular garden with a third length of fence that is 8 feet long. Is Jeff correct or incorrect in his reasoning? Explain.

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Answers (1)

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Regan Jacobs · Answer 1

Jeff is correct

Step-by-step explanation:

In a triangle sum of any two sides is always grater than the third side.

Let us apply above rule for the given measurements of the sides of the triangle and check whether they comply with it or not.

19 + 12 = 31 > 8

19 + 8 = 27 > 12

12 + 8 = 20 > 19

Thus, given measurements are satisfying the above rule. So, Jeff is absolutely correct in his reasoning.