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

Question

Mathematics

Isabelle Murphy

13 April, 10:24

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

+2

Answers (1)

Know the Answer?

Stephen Vargas · Answer 1

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

Mrs. Johnson has errands to accomplish at the post office and the grocery store. Thegrocery store is 6 miles north of the post office and the grocery store is 8 miles fromhome. How far is the post office from home?Grocery StoreHomePost OfficeA. 5.3 milesB. 7.5 milesC.10 milesD.14 miles