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Manager
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The distance from X to Y is 20 miles, and the distance from [#permalink]
 03 May 2003, 17:49
The distance from X to Y is 20 miles, and the distance from X to Z is 12 miles. If d is the distance, in miles, between Y and Z, then d is indicated by:
A. 8 ≤ d ≤ 20
B. 8≤ d ≤ 32
C. 12≤d ≤ 20
D. 12≤d ≤ 32
E. 20 ≤d ≤32
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Intern
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Side YZ of triangle XYZ is the distance between the towns Y and Z.
YZ is shortest when angle YXZ approaches 0, i.e, XZ almost overlaps XY
In this case, since Z is a point on XY,
YZ = XY - YZ = 20 - 12 = 8
YZ is longest when angle YXZ approaches 180, i.e, XZ extends outwards in a straight line from XY
In this case,
YZ = XY + YZ = 20 + 12 = 32
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Manager
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B,
Min is 8 Max is 12+20=32
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Manager
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Correct.
tzolkin, could you explain why min is 8, e.g. 20-12, and max is 32?
Thanks.
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suneeta has explained it well.
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