Question

the length of the two side of a triangle are 4cm and 6cm between what two measures should the length of the third side fall

Answer 1

| 4 - 6 | < third side < ( 4 + 6) then 2 cm < third side < 10 cm

between 2 to 10cm

Answer 2

Hope it helps...!!!

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Since the third side either may be the largest or the smallest side.

Let the third side be x

Case (1):

Let the third side is the largest side. So,

Sum of two smallest side > largest side

=> 4+6>x

=> 10>x

Case (2):

Let the third side is the smallest side, which is x, then, 6 will be the largest side. So,

Sum of the two smallest side > largest side

=>x+4>6

=>x>6-4

=>x>2

Hence, third side could be any length between 2 and 10.

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