can the no. given below can be the sides of the triangle. a - 2,3,4. b - 5,7,12
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a can but b can not
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According to the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side.
a) -2,3,4
a=-2, b=3, c=4
b+c = 3+4
=7 > -2
b+c > a
so, it is a sides of the triangle.
b) -5,7,12
a= -5, b=7, c=12
b+c = 7+12
= 19 > -5
b+c > a
so, it is a sides of the triangle.
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