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    NationalMediumTrigonometry10–12

    In a triangle two sides measure 33 and 55 and the angle between them is 60°60°. What is the length of the third side?

    Num triângulo, dois lados medem 33 e 55 e o ângulo por eles formado é 60°60°. Qual é o comprimento do terceiro lado?

    A triangle drawn to scale. From the left-hand vertex one side of length 5 runs horizontally to the right and another of length 3 rises to the upper right; the angle between these two sides is marked with an arc and labelled 60 degrees. The third side, joining their far ends, is drawn and marked with a question mark.60°53?

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    Solution

    Step 1 of 3

    1. 1.Law of cosines: c2=a2+b2−2abcos⁡Cc^2 = a^2 + b^2 - 2ab\cos C