Asked by zie
Locations of Jack's home, school, and gym form an obtuse triangle on the map.
Let A be the difference between the distance from Jack's home to the school and the distance from the home to the gym. Let B be the distance from the school to the gym.
Is A greater than B, B greater than A, A equal to B, or can't be determined?
Let A be the difference between the distance from Jack's home to the school and the distance from the home to the gym. Let B be the distance from the school to the gym.
Is A greater than B, B greater than A, A equal to B, or can't be determined?
Answers
Answered by
oobleck
can't be determined. If the sides of a triangle are a,b,c from least to greatest, you must have
b-a < c < b+a
since you have not specified the obtuse angle in your diagram, there is no way to determine which side is the longest.
I get the feeling you want A < B, and that may be so, bu it cannot be determined from what you said.
b-a < c < b+a
since you have not specified the obtuse angle in your diagram, there is no way to determine which side is the longest.
I get the feeling you want A < B, and that may be so, bu it cannot be determined from what you said.
Answered by
Anonymous
Why would it not be A greater than B? By the Triangle Inequality a + b > c for any triangle to exist. A picks any two sides which must be greater than the distance of a single side.
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