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19 May, 13:53

Suppose a triangle has two sides of length 42 and 35, and that the angle between these two sides is 120. What is the length of the third side of the triangle?

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  1. 19 May, 16:42
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    Using cosine rule, the required side is given by:

    sqrt (42^2 + 35^2 - (2 x 42 x 35 x cos 120))

    = sqrt (1764 + 1225 - (-1470))

    = sqrt (2989 + 1470)

    = sqrt (4459)

    ≈ 67
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