Answer :
A triangle has two sides of length 18.9 and 2.9. inequality which describes the possible lengths for the third side, x is 16 < x < 21.8
The triangle inequality theorem states that,
given two lengths of the sides of a triangle, the length of the third side of the triangle must be greater than the difference and less than the sum of the two given sides.
For the two sides a and b of the triangle, the third side c must follow as follows:
(a - b) < c < (a + b)
So let a = 18.9 and b = 2.9
let the length of third side of triangle be x then
(18.9 - 2.9) < x < (18.9 + 2.9)
=> 16 < x < 21.8
So , the third side of the triangle must follow the inequality 16 < x < 21.8
To learn more about Triangle inequality, refer:
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