fionas school is in the shape of a triangle, with three hallways connecting the corners. fiona enters the…

fionas school is in the shape of a triangle, with three hallways connecting the corners. fiona enters the building and walks 90 yards through the first hallway to the first corner. then, she walks 60 yards through the second hallway to the second corner. what are the possible lengths of the third hallway? between 30 yards and 60 yards between 30 yards and 90 yards between 30 yards and 120 yards between 30 yards and 150 yards

fionas school is in the shape of a triangle, with three hallways connecting the corners. fiona enters the building and walks 90 yards through the first hallway to the first corner. then, she walks 60 yards through the second hallway to the second corner. what are the possible lengths of the third hallway? between 30 yards and 60 yards between 30 yards and 90 yards between 30 yards and 120 yards between 30 yards and 150 yards

Answer

Explanation:

Step1: Recall triangle - side rule

The length of any side of a triangle (c) must satisfy the inequality (|a - b|\lt c\lt a + b), where (a) and (b) are the lengths of the other two sides. Here (a = 90) yards and (b = 60) yards.

Step2: Calculate the lower - bound

The lower - bound is (|90 - 60|=30) yards.

Step3: Calculate the upper - bound

The upper - bound is (90 + 60 = 150) yards. So the length of the third side is between 30 yards and 150 yards.

Answer:

between 30 yards and 150 yards