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Previous Year Question (PYQs)
3
The two adjacent sides of a cyclic quadrilateral are 2 and 5 and the angle between them is $60^\circ$.
If the third side is 3, the remaining fourth side is
Solution
Opposite angles in a cyclic quadrilateral are supplementary.
Using cosine rule in both triangles and equating, the fourth side comes out as 4.
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