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After school, Brandon skateboards directly from school to a movie theater and then from the movie theater to an ice cream parlor. The movie theater is \(5\) kilometers south of the school and the ice cream parlor is \(12\) kilometers east of the movie theater. What is the straight-line distance between the school and the ice cream parlor?______________kilometers

Full solution

Q. After school, Brandon skateboards directly from school to a movie theater and then from the movie theater to an ice cream parlor. The movie theater is \(5\) kilometers south of the school and the ice cream parlor is \(12\) kilometers east of the movie theater. What is the straight-line distance between the school and the ice cream parlor?______________kilometers
  1. Identify legs of triangle: Identify the legs of the right triangle formed by the paths from the school to the movie theater and from the movie theater to the ice cream parlor.
  2. Apply Pythagorean Theorem: Apply the Pythagorean Theorem to find the hypotenuse, which is the straight-line distance from the school to the ice cream parlor.

More problems from Pythagorean Theorem and its converse