Question
Your house is 2 miles from the library. The library is 34 miles from the grocery store. What do you know about the distance from your house to the grocery store? Explain. Include the special case when the three locations are all in a straight line.
The correct answer is: 36 miles.
Answer:
- Step by step explanation:
- Given:
House is 2 miles from the library. The library is 34 miles from the grocery store.
- Step 1:
- Case 1:
When they are not in one line.
As we can see they form triangle, and two sides are 2 and 34.
So, third side will be,
b – a < c < a + b
34 – 2 < c < 34 + 2
32 < c < 36
So, distance between house and grocery shop will be between
32 and 36 miles.
- Step 2:
- Case 2:
When they are in one line and house is between them.
As they are line,
Distance between house and grocery shop will be ( 34 – 2 ) miles
= 32 miles.
- Step 2:
- Case 3:
When they are in one line and house is not between them.
As they are line, Distance between house and grocery shop will be ( 34 + 2 ) miles = 36 miles.
- Given:
So, distance between house and grocery shop will be between
32 and 36 miles.
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