Answer:
Option C) 24 < x < 54
Step-by-step explanation:
we know that
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
Let
x ----> the measure of the third side
Applying the triangle inequality theorem
1) [tex]15+39 > x[/tex]
[tex]54 > x[/tex]
Rewrite
[tex]x < 54\ units[/tex]
2) [tex]x+15> 39[/tex]
[tex]x > 39-15[/tex]
[tex]x > 24\ units[/tex]
therefore
The range of possible measures for the third side is the interval (24,54)
