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Area of Square

Which of the ...

Question

Which of the following sets of side lengths will not form a triangle?

11

cm,

10

cm,

11

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3

3

m ,

3

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9

mm,

9

mm,

12

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3

cm,

4

cm,

7

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Solution

The correct option is C $3$ cm, $4$ cm, $7$ cm
The sum of any two sides of a triangle is greater than the third side.
Here, if we consider $3$ cm, $4$ cm, $7$ cm as side lengths then the sum of two sides $(3 + 4)$ cm is equal to the third side and not greater than the third side i.e., $7$ cm.
Thus, the side lengths $3$ cm, $4$ cm , $7$ cm will not form a triangle.
Hence, option D is correct.

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