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

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3 answers

Because the given side lengths of the triangle do not follow the triangle inequality theorem.
The theorem states that the sum of any sidelengths of the triangle is greater than the length of the third side.
In this case, 21 + 15 is not greater than 37.
He was not hired because 15+21<37
the side lengths of the triangle are inequality, 21 + 15 is not higher than 37.