suppose a triangle has two sides of length 33 and 37, and the angle between these sides is 120. what is the length of the third side of the triangle?
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Use the cosine law to answer the question which can be expressed as,
c² = a² + b² -2ab(cos C)
where c is the side opposite to angle C and a and b are the sides adjacent to the angle. Substituting the given values,
c² = 33² + 37² - (2)(33)(37)(cos 120°) = 3679
The value of c is 60.65. Therefore, the length of the third side is approximately 60.65 units.
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