Question

A map of a new dog park shows that it is triangular and that the side measure 18.5m,36.9m, and 16.9m. Are the dimensions correct? Explain your reasoning.

Answer 1

Therefore the Dimensions are not correct.

Because the sum of any two sides should be more than the third side.

Explanation:

Let the dog park be of ΔABC having sides ,

AB = 18.5 m

BC = 16.9 m

AC = 36.9 m

To Check:

Dimension of Triangle is correct or not?

Solution:

Conditions for a figure to be considered a triangle :

• It must have 3 sides and 3 angles.
• The sum of any two sides should be more than the third side.

So, here we have ΔABC as Dog Park.

`AB + BC=18.5+16.9=35.4\\\\AC=36.9`

`AB + BC<AC`

Which is not the required condition for a Triangle.

Therefore the Dimensions are not correct.