A landscaper made the lengths of two sides of a triangular garden 22 ft and 40 ft. Which of the following could be the length of the third side of the garden?
The triangle inequality states that for any triangle with sides of length a, b, and c, $$a+b>c$$, $$a+c>b$$, and $$b+c>a$$. If we call the unknown side x, we know that $$22+x>40$$ Therefore, the only possible solution is x = 20.
The triangle inequality states that for any triangle with sides of length a, b, and c, $$a+b>c$$, $$a+c>b$$, and $$b+c>a$$. If we call the unknown side x, we know that $$22+x>40$$ Therefore, the only possible solution is x = 20.
+449 
