In the adjoining ABC, BC is the largest and AC is the smallest side. Arrange x,y,z in ascending order.
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Given, sides AB>AC>BC -- (1)
This means, the angles opposite to the sides will also have the same relation.
=>∠ACB>∠ABC>∠BAC -- (2)
Since, x
o
,y
o
,z
o
are the exterior angles, they will be 180
o
−∠BAC;180
o
−∠ABC,180
o
−∠ACB respectively. -- (2)
Hence, from 1,2
=>180
o
−z
o
>180
o
−y
o
>180
o
−x
o
=>z
o
<y
o
<x
o
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