"Stacey Lives 8 Blocks South Of The Post Office. The Grocery Store Is 15 Blocks East Of The Post Office. What Is The Shortest Distance From Staceys Ho
Stacey lives 8 blocks south of the post office. the grocery store is 15 blocks east of the post office. what is the shortest distance from Staceys house to the grocery store
Pythagorean Theorem
Answer:
The shortest distance from Staceys house to the grocery store is 17 blocks.
Step-by-step explanation:
To get the shortest distance from Staceys house to the grocery store, use the Pythagorean theorem since the figure formed after sketching Staceys house, the post office, and the grocery is a right triangle. Let side a be the distance from Staceys house to the post office, side b be the distance of the post office to the grocery and side c be the distance of the grocery to Staceys house. Then, c^2 = a^2 + b^2. c^2 = (8 blocks)^2 + (15 blocks)^2. c^2 = (64 blocks^2) + (225 blocks^2). c^2 = 289 blocks^2. Extract the square root of both sides of the equation thus c = √289 blocks^2. c = 17 blocks.
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