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In triangle MNP, if MN = x, NP = 2x, and MP = y, which of the three angles has the greatest degree measure?

Important properties of a triangle.
The shortest side is always opposite the smallest angle.
The longest side is always opposite the largest angle.

(1) MNP is a right triangle.
case I : y>2x ; (y^2= x^2+4x^2)
example : x=5,2x=10,y=5√5 (11.18)
so,∠N has greatest degree measure.

case I : y<2x ; (y^2= 4x^2-x^2)
example : x=5,2x=10,y=5√3 (8.66)
so,∠M has greatest degree measure. insufficient

(2) y < 2x
obviously,x<2x
so,2x is the greatest side.
∠M has greatest degree measure. sufficient


correct answer B
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