Question

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

Answer 1

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

`200+70=270`

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

`Z<\text{ X +Y}`

Therefore, the correct answer is 220