In a triangle the lengths of two sides are 5 and 9 and the length of the third side is represented by x. Which statement is always true?
সমাধান
সঠিক উত্তর: Option D
If we let the side with length 9 as the largest side of the triangle, then 5 + x must be greater than 9 to form a triangle.
Thus, 5 + x > 9
or, x > 9 - 5
or, x > 4
If we let x be the largest side.
Then, x must be less than 5 + 9
So, x < 14
Thus, by combining it, we get,
4<x <14