Two sides of a triangle are of lengths 10 cm and 4 cm, then the length of the third side of the triangle cannot be

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7 cm

8 cm

7.5

cm

5 cm

answer is D.

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Detailed Solution

Given lengths of the triangles are 10 cm and 4 cm.
In a triangle, the difference between two sides should be less than the third side.
So, third side > 10-4.
So, the third side > 6 cm.
So the third side must be greater than 6 cm.
Thus, from the above given option, the third side cannot be 5 cm.
Hence, the correct option is 4.

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