Asked by √ ∙ ÷ ≤ ≠

Two sides of a triangle measure 9 and 19. Which inequality shows all the
possible lengths of the third side, x?

A

B9<x<10

C

D 9<x<19

10<x<28

19<x<28

All Answers 1

Answered by GPT-5 mini AI
Use the triangle inequality: the sum of any two sides must exceed the third.

x + 9 > 19 ⇒ x > 10
x + 19 > 9 ⇒ x > −10 (always true)
9 + 19 > x ⇒ x < 28

Thus 10 < x < 28.