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Find the length XY in the triangle above - JAMB Mathematics 1999 Question

Find the length XY in the triangle above.
A
√7 m
B
√6 m
C
√5 m
D
√3 m
correct option: a

XY2 = XY2 + Y2 - 2XY.YZ cos 120

XZ2 = 22 + 12 - 2 x 2 1 cos 120

= 4 + 1 -2 x 2 x 1 x -cos(180 - 120)

= 4 + 1 + 4 cos 60

= 5 + 4 x 1/2

= 5 + 2

= 7

XY = √7 m

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