JEE Main Mathematics question

Mathematics Solution of Triangles JEE Main

Not in JEE syllabus

The sides of a triangle are in AP and its area is times the area of an equilateral triangle of the same perimeter. Then the ratio of the sides is

(A)
(B)Correct
(C)
(D)None of these

Answer: (B)

Solution

Let the sides be , , ; the perimeter is , so the equilateral triangle of equal perimeter has side and area . Heron's formula gives

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Question ID VK-008414