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

Answer:

Therefore the Dimensions are not correct.

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

Step-by-step 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.

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

$AB + BC$

Which is not the required condition for a Triangle.

Therefore the Dimensions are not correct.