two sides of a triangle measure 9 and 19. which inequality shows all the possible lengths of the third side…

two sides of a triangle measure 9 and 19. which inequality shows all the possible lengths of the third side, x?\na 10 < x < 28\nb 9 < x < 10\nc 19 < x < 28\nd 9 < x < 19

two sides of a triangle measure 9 and 19. which inequality shows all the possible lengths of the third side, x?\na 10 < x < 28\nb 9 < x < 10\nc 19 < x < 28\nd 9 < x < 19

Answer

Explanation:

Step1: Recall triangle - side inequality

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side, and the difference between the lengths of any two sides must be less than the length of the third side. Let the two given sides be (a = 9) and (b = 19). Then (b - a<x<b + a).

Step2: Calculate the lower - bound

Subtract the two given sides: (19−9 = 10), so (x>10).

Step3: Calculate the upper - bound

Add the two given sides: (19 + 9=28), so (x<28).

Answer:

A. (10 < x < 28)