High School

A map of a new dog park shows that it is triangular, with sides measuring 18.5 m, 36.9 m, and 16.9 m. Are these dimensions correct?

Answer :

In order to check whether the length of the sides are applicable to form a triangle is that we have to make sure that the sum of the length of two side should be greater than the third side.

18.5 m, 36.9 m, and 16.9 m
18.5 m <
36.9 m +16.9 m
36.9 m < 18.5 m +16.9 m
16.9 m < 18.5 m + 36.9 m

So the dimensions are correct!

Final answer:

The dimensions are incorrect due to a violation of the triangle inequality theorem.

Explanation:

The dimensions are incorrect.

Calculate the perimeter by adding the lengths of the sides: 18.5m + 36.9m + 16.9m = 72.3m

A triangle with sides measuring 18.5m, 36.9m, and 16.9m violates the triangle inequality theorem because the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, 18.5 + 16.9 < 36.9, which is not true.

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