Aspire Faculty ID #16685 · Topic: CUET 2023 · Just now
CUET 2023

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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