enter the correct answer in the box.\na triangle has side lengths of 200 units and 300 units. write a…
enter the correct answer in the box.\na triangle has side lengths of 200 units and 300 units. write a compound inequality for the range of the possible lengths for the third side, x.
Answer
Explanation:
Step1: Apply the triangle inequality theorem
The triangle inequality theorem states that for any triangle with side lengths (a), (b), and (c), (|a - b|\lt c\lt a + b). Here (a = 200) and (b=300). First, calculate (|a - b|): (|200 - 300|=| - 100| = 100). Second, calculate (a + b): (200+300 = 500).
Answer:
(100\lt x\lt500)