Question

two sides of a triangle measure 9 and 19. which inequality shows all the possible lengths of the third side, x?
a 10 < x < 28
b 9 < x < 10
c 19 < x < 28
d 9 < x < 19

Explanation:

Step1: Apply triangle - inequality theorem

The sum of two sides of a triangle is greater than the third side, and the difference between two sides is less than the third side. So \(19 - 9

Step2: Simplify inequalities

\(19-9 = 10\) and \(19 + 9=28\), so \(10

Answer:

A. \(10 < x < 28\)