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ELEN [110]
2 years ago
11

The sum of the lengths of any two sides of a triangle is greater than the length of the third side. What can you conclude about

AC in ABC?
AB = 6; BC+AC=18
Mathematics
1 answer:
prohojiy [21]2 years ago
8 0

Answer:

Finally, substitute AB = 6 and BC = 18 - 2AC in

AB + AC > BC 3rd Triangle Inequality condition

6 + AC > 18 - 2AC

   -12 > -3AC

     4 < AC

    AC > 4

So putting all three results together

AC < 12, AC < 8, and AC > 4

Since AC is less than 8, it's automatically less than 12,

so we can dispense with AC < 12.  So we have:

AC < 8 and AC > 4  which can be combined and written as

   4 < AC < 8    [that is, AC is between 4 and 8]

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