Angles and sides of the triangle

Triangle ABC has a circumference of 26 cm. Lengths of the sides are as follows: a = 11.2 cm; b = 6.5 cm. Arrange the interior angles in order of its size.


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Solution:

a = 11.2 cm ; ; b = 6.5 cm ; ; c = 26-a-b = 8.3 cm ; ; a > c > b => alpha > gamma > beta ; ; ; ; alpha = 97.616° ; ; beta = 35.116° ; ; gamma = 47.268° ; ;

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