The three sides of a triangle are 12, 17 and x units. Which of the following options is correct?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 5 < x < 29.
Given that
The three sides of a triangle are 12, 17 and x units
Concept used
In any triangle, the sum of any two sides of the triangle is always greater than the third side
Calculation
The sum of two sides = 12 + 17 = 29
So, the third side will be less than 29
Thus, the third side value also greater than (17 - 12 = 5)
Hence, the required possible value of third side of the triangle = 5 < x < 29