Question

What is the greatest possible distance from austin to San Antonio? How did you find the answer

Answer 1

The distance from Austin to San Antonio must be less than
`335.77\ mi`

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)
`c+146.43 > 189.34`

solve for c

`c> 42.91\ mi`

case B)
`146.43 + 189.34> c`

`335.77> c` -----> rewrite

`c<335.77\ mi`