JEE Main Mathematics question

MathematicsSolution of TrianglesJEE Main

Not in JEE syllabus

Let and be two non-congruent triangles with sides , and angle . The absolute value of the difference between the areas of these triangles is .

Answer: 4

Solution

By the sine rule, , so or — the two non-congruent triangles. The third angles are then

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Question ID VK-008620