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.

Answer 1

The architect was not hired because those side lengths are impossible to construct a triangle. Imagine the 2nd piece, 37 ft. Now, take the other two sides: 15 and 21 ft. The two shorter pieces would be, when added together, shorter than the first piece alone (21+15<37). It is not possible to construct a triangle given those side lengths.
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