In this fig, BPC is a straight line. Arrange AP, BP, and CP in descending order of their lengths.
A.AP>BP>CP
B.CP>BP>AP
C.BP>AP>CP
D.BP>CP>AP
fig: http://img.photobucket.com/albums/v452/michael886hk/2219bdd9.jpg
Maths Mc
2008-05-04 11:36 pm
回答 (1)
2008-05-05 8:05 am
✔ 最佳答案
in triangle ABP,angle A = 85 - 40 = 45
by sine law,
AP : BP = sin 40 : sin 45 = sin40sin45 : sin45sin45
in triangle ACP,
angle A = 180 - 85 - 45 = 50
by sine law,
AP : CP = sin45 : sin 50 = sin45sin40 : sin50sin40
AP : BP : CP = sin45sin40 : sin45sin45 : sin50sin40 = 0.45 : 0.5 : 0.49
Therefore, BP > CP > AP (Answer D)
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