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Q.

XP is a median of the triangle XYZ. Then XY + YZ + XZ > _____ XP.

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a

1

b

2

c

4

d

8

answer is B.

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Detailed Solution

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From the figure, it is clear that,

Question Image
XY + YP > XP                         .....(1)
And XZ + ZP > XP                  .....(2)
Adding (1) and (2), we get
XY + (YP + PZ) + XZ > XP + XP
⇒ XY + YZ + XZ > 2 XP

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XP is a median of the triangle XYZ. Then XY + YZ + XZ > _____ XP.