Question

The diagram shows a section of the zoo where two paths meet at a right angle. There are plans to construct a new path as shown by the dotted line. What will be the length of the new path?
16,900 m
130 m
170 m
85 m
38% Complete
path
120 m
AZ
50 m
path
new path

Answer 1

The new path is the hypotenuse of a right triangle with legs 120 m and 50 m. By Pythagoras:

length = sqrt(120^2 + 50^2) = sqrt(14400 + 2500) = sqrt(16900) = 130 m.

Answer: 130 m.