Question

1. which is a practical application of the pythagorean theorem?

a. measuring the weight of an object
b. determining the shortest path between two points on a map
c. calculating the speed of a car
d. finding the capacity of a container

Explanation:

The Pythagorean Theorem ($a^{2}+b^{2}=c^{2}$ for a right - triangle) is used to find distances. Determining the shortest path between two points on a map often involves right - angled displacements (north - south and east - west), and the theorem can calculate the straight - line distance. Measuring weight involves scales and physics, speed calculation is based on distance and time, and container capacity is about volume measurement.

Answer:

b. Determining the shortest path between two points on a map