Let ABC and ABC′ be two non-congruent triangles with sides AB = 4, AC = AC' = 2 2 and angle B = 30°. The absolute value of the difference between the areas of these triangles is

JEE Advanced 2009 Mathematics question

Mathematics Solution of Triangles JEE Advanced 2009

Let ABC and ABC′ be two non-congruent triangles with sides AB = 4, and angle B = 30°. The absolute value of the difference between the areas of these triangles is

Answer: 4

Solution

With c = AB = 4, b = AC = 2√2 and B = 30°, the cosine rule gives a^2\sqrta^2\sqrt$3a +

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Question ID VK-037763