Answer:
Therefore this triangle is not possible. This is the reason the architect was not hired.
Explanation:
i) In a triangle we know that the sum of any two sides should be greater than or equal to the remaining side.
ii) The sides of the triangle are 21 feet, 37 feet, 15 feet.
iii) If we add the two smaller sides we get 21 feet + 15 feet = 36 feet which is less than the remaining side which is 37 feet.
Therefore this triangle is not possible. This is the reason the architect was not hired.