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In an acute angled triangle ABC, let AD,...

In an acute angled triangle `ABC`, let `AD, BE` and `CF` be the perpendicular opposite sides of the triangle. The ratio of the product of the side lengths of the triangles `DEF` and `ABC`, is equal to

A

A. `(3(abc)^(1/3))/(4(a+b+c))`

B

B. `1/4`

C

C. `cos A cos B cos C`

D

D. `sin ((A)/(2))sin ((B)/(2))sin ((C)/(2))`

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The correct Answer is:
C
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ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Passage Based Questions)
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