The lengths of the two sides of a triangle are 14 cm and 9 cm. Which of the options below can be the length of the third side?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 17 cm.
In any triangle, sum of the two sides is always greater than the third side and difference of the two sides is always less than the third side.
Let the third side of the triangle be x.
According to the given question,
(14 - 9) < x < (14 + 9)
⇒ 5 < x < 23
The third side will lie between 5 and 23.
According to the given options, the third side will be 17 cm.