Given:
Two sides of a triangle are 5 and 15.
To find:
Chose the correct option which cannot be the third side.
Explanation:
The length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.
Here, a sum of the two given sides is:
[tex]5+15=20[/tex]Also, the difference of two given sides,
[tex]15-5=10[/tex]So, the third side must be in between,
[tex]\begin{gathered} 15-5<\text{ third side < 15 +}5 \\ 10<\text{ third side < 20} \end{gathered}[/tex]Therefore, option (A) is not true according to the above property as 6 is less than 10.
Final answer:
Hence, (A) 6 cannot be the third side.
