77,395 views
25 votes
25 votes
Question is in the screenshot

Question is in the screenshot-example-1
User John S Perayil
by
2.4k points

1 Answer

17 votes
17 votes

Answer:

The architect will disagree because the given side lengths cannot form a triangle shape

Explanation:

Here, we want to state why the architect will not agree

from the question, we need to form a triangular shaped flower garden

the side lengths of the supposed triangle are 40 ft, 24 ft and 15 ft

However, it is mathematically impossible for these three side lengths to form a triangle

This is because for three side lengths to be able to form a triangle, then the sum of any two of the side lengths must be greater than the third

For example, if the side lengths are a, b and c

Then for us to have a triangle;

a + b > c

b + c > a

and

a + c > b

But, since;

24 + 15 is less than 40

It means we cannot have a triangle formed

User Malcolm McLean
by
2.6k points