Question

Two sides of a triangle are $7$ and $10$ units, which of the following length can be the length of the third side?

• A. $19$ units
• B. $17$ units
• C. $13$ units
• D. $3$ units

Answer 1

The correct option is C $13$ units

The sum of any two sides is greater than the third side.

and difference between two sides should be lesser than the third side.

For option $A,$ $7+10\ngtr 19$

For option $B,$ $7+10\ngtr 17$

For option $C,$ $7+10>13$

Also, $|10-7|<13$

For option $D,$ $7+10>3$

but $|7-10|\nless 3$

Only, $C$ is correct.