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=11.2cm b=6.5cm c=26ab=8.3 cm a>c>b=>α>γ>β  α=97.616 β=35.116 γ=47.268 a = 11.2 cm \ \\ b = 6.5 cm \ \\ c = 26-a-b = 8.3 \ cm \ \\ a > c > b => α > γ > β \ \\ \ \\ α = 97.616^\circ \ \\ β = 35.116^\circ \ \\ γ = 47.268^\circ \ \\

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Following knowledge from mathematics are needed to solve this word math problem:

See also our trigonometric triangle calculator.