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The sides of a triangle are 3 cm, 4 cm and (x +1) cm, where x is an integer. Then, x can take the value/values :
Question

The sides of a triangle are 3 cm, 4 cm and (x +1) cm, where x is an integer. Then, x can take the value/values :

A.

From 0 cm to 6 cm

B.

From 1 cm to 6 cm

C.

From 1 cm to 5 cm

D.

Only 4 cm

Correct option is C

The sides of a triangle must satisfy the Triangle Inequality, which states that the sum of any two sides of a triangle must be greater than the third side.
In this case, we have: 3 + 4 > x + 1
7 > x + 1
x 6

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