666Izanami666
666Izanami666 666Izanami666
  • 01-04-2022
  • Mathematics
contestada

Which CANNOT be the third side of a triangle if the two sides measure 10 cm and 32 cm ?

A.
32 cm

B.
33 cm

C.
44 cm

D.
40 cm

Respuesta :

DᴀʀᴋPᴀʀᴀᴅᴏx
DᴀʀᴋPᴀʀᴀᴅᴏx DᴀʀᴋPᴀʀᴀᴅᴏx
  • 01-04-2022

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

The Length of the third side of a triangle shouldn't be greater than the some of other two sides,

So, let the side be x

[tex]\qquad \sf  \dashrightarrow \: x < 32 + 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: x < 42[/tex]

And hence, the third side should be less than 42 cm, therefore the only option that doesn't satisfy the condition is option D

Therefore, 44 cm can't be a side of that Triangle.

Answer Link

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