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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?

Guest Jan 19, 2020

Guest · Answer 1 · 2020-01-19T05:15:30

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

$m+3>m>2m-10$

$m+3>m>2(m-5)$

Omi67 · Answer 2 · 2020-01-19T06:05:14

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?