Question

A landscape architect submitted a design for a triangle shaped flower garden with side lengths of 21ft, 37ft, and 15ft to a customer. Explain why the architect was not hired to create the flower garden. (Lol)

Answer 1

For a triangle, there is a proven inequality that states that, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side

21 + 37 >= 15
58 >= 15

21 + 15 >= 37
36 >= 37

37 + 15 >= 21
52 >= 21

We can see that the second inequality doesn't comply, thus there is not such triangle.