Answer:
The distance from Austin to San Antonio must be less than [tex]335.77\ mi[/tex]
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
c------> the measure of the third side of triangle (distance from austin to San Antonio)
Applying the Triangle inequality Theorem
case A) [tex]c+146.43 > 189.34[/tex]
solve for c
[tex]c> 42.91\ mi[/tex]
case B) [tex]146.43 + 189.34> c[/tex]
[tex]335.77> c[/tex] -----> rewrite
[tex]c<335.77\ mi[/tex]
