SOLUTION: an isosceles triangle has a perimeter of 18 and integer side lengths. what is the smallest possible area and what is the smallest possible angle measure at one of its corners

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Question 1080908: an isosceles triangle has a perimeter of 18 and integer side lengths. what is the smallest possible area and what is the smallest possible angle measure at one of its corners
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
So let the equal side be N.
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From the perimeter you know,


The height of the triangle would be obtained using the base and N using the Pythagorean theorem,

with the condition,







Since N is an integer,

Also,

so,


So,

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For the angle the information already given,


Make a table of values,
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