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a triangle has two sides of length 18.9 and 2.9. what compound inequality describes the possible lengths for the third side, x?

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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:

https://brainly.com/question/1163433

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