Q:

Fiona’s school has three hallways that make up three sides of a triangular building design. In the morning, Fiona walks 90 yards through the first hallway to get to the next. In the afternoon, she walks 60 yards through a second hallway to exit the building. What are the possible lengths of the third hallway that she did not walk through?

Accepted Solution

A:
Answer:"between 30 yards and 150 yards"Step-by-step explanation:Let one side of a triangle be x and another side be y. To find the possible lengths of the third side, it is given by:Possible length of 3rd side would be between "x - y" and "x + y"Here, given x = 90 and y = 60, so the possible length of 3rd side would be:90 - 60 = 30,90 + 60 = 150Hence, in between 30 and 150