JEE Main Mathematics question

MathematicsSolution of TrianglesJEE Main

Not in JEE syllabus

In a triangle the lengths of the two larger sides are 24 and 22 respectively, and the angles are in AP. Then the possible lengths of the third side are

Answer: (A)

Solution

Angles in AP means the middle angle is , and it faces the middle side 22. Cosine rule with , , and third side :

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Question ID VK-008449