Let m be a positive integer. In triangle ABC, AB=4,-9, AC=3m+1, BC=3m+4 and angle A > angle B > angle C. How many possible values of m are there?
Hints:
"Angle A> Angle B > Angle C"
Therefore,
CB>AC>AB
so,
\(3m+4>3m+1>4m-9\)
Subtract 2m
\(m+4>m+1>2m-9\)
Subtract 1
\(m+3>m>2m-10\)
\(m+3>m>2(m-5)\)
