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The mayor of a town proposes to fence off a triangular area of a building that includes two sides of the building as shown below.Which distance, in feet could be the length of the proposed fence line?100280220130

The mayor of a town proposes to fence off a triangular area of a building that includes two sides of the building as shown belowWhich distance in feet could be class=

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Solution

Using triangle inequality

The triangle inequality states that the sum of the lengths of any two sides of a triangle is greater than the length of the remaining side.

The fence line is the longest size

100, 130 can't be the answer

[tex]200+70=270[/tex]

280 can't be the answer be ause the triangle inequality says it should be less than the sum

[tex]Z<\text{ X +Y}[/tex]

Therefore, the correct answer is 220

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