Mrs. Johnson has errands to accomplish at the post office and the grocery store. The
grocery store is 6 miles north of the post office and the grocery store is 8 miles from
home. How far is the post office from home?
Grocery Store
Home
Post Office
A. 5.3 miles
B. 7.5 miles
C.
10 miles
D.
14 miles​

Respuesta :

Answer:  C) 10 miles

Step-by-step explanation:

6 miles north and 8 miles west creates a right triangle.

Use Pythagorean Theorem: a² + b² = c²     where

  • a = 6
  • b = 8
  • c = distance from post office to home

6² + 8² = c²

36 + 64 = c²

  100    = c²

√100    = √c²

   10     = c