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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? 

 Jan 19, 2020
 #1
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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

\(m+3>m>2m-10\)

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

.
 Jan 19, 2020
 #2
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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? 

laugh

 Jan 19, 2020
edited by Omi67  Jan 19, 2020

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