SOLUTION: An isosceles triangle has congruent sides that each measure 3 feet and a base angle of measure x . The third side has a whole number lenght . If x<60, what are the possibilities of

Algebra ->  Triangles -> SOLUTION: An isosceles triangle has congruent sides that each measure 3 feet and a base angle of measure x . The third side has a whole number lenght . If x<60, what are the possibilities of      Log On


   

Question 1057646: An isosceles triangle has congruent sides that each measure 3 feet and a base angle of measure x . The third side has a whole number lenght . If x<60, what are the possibilities of the perimeter of the triangle.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
There is an important restriction according to Triangle Inequality Theorem. 6cos%28x%29%3C3%2B3.

Draw the figure according to description.
Base is 2%2A3%2Acos%28x%29.


You will have these inequalities:
system%286cos%28x%29%3C60%2C6cos%28x%29%3C6%29; the second of these is more important.

cos%28x%29%3C1
which means the angle x at each base angle must obviously be less than 90 degrees. You should just rely on triangle inequality rule and understand that the perimeter MUST be LESS than 12. The perimeter MUST NOT BE 12.