Question

The lengths of two sides of a triangle are $6cm$ and $8cm$. Between which two numbers can the length of the third side fall? (assuming the length of the third side to be $xcm$ )

• A. $2\le x\le 14$
• B. $2<x<14$
• C. $4\le x\le 12$
• D. $3<x<14$

Answer 1

The correct option is B $2<x<14$

The least measure the third side can have is the difference of the two sides as it would form a degenerate triangle.
Hence, third side must be greater than $8-6=2$.
The greatest measure the third side can have is less that the sum of the other two sides.
Hence, the third side must be less than $8+6=14$.