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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

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

B

`1/4`

C

`cos A cos B cos C`

D

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

Text Solution

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The correct Answer is:
C
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ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Passage Based Questions)
  1. Let ABC to be an acute triangle with BC=a,CA =b and AB=c, where a ne ...

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  2. Let ABC to be an acute triangle with BC=a,CA =b and AB=c, where a ne ...

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  3. In an acute angled triangle ABC, let AD, BE and CF be the perpendicula...

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  4. In an acute angle Delta ABC, let AD, BE and CF be the perpendicular fr...

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  5. In an acute angle Delta ABC, let AD, BE and CF be the perpendicular fr...

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  6. Let a,b, c are the sides opposite to angles A, B , C respectively in a...

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  7. Let a,b, c are the sides opposite to angles A, B , C respectively in a...

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  8. Let a,b, c are the sides opposite to angles A, B , C respectively in a...

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  9. When any two sides and one of the opposite acute angle are given, unde...

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  10. When any two sides and one of the opposite acute angle are given, unde...

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  11. When any two sides and one of the opposite acute angle are given, unde...

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  12. When any two sides and one of the opposite acute angle are given, unde...

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  13. When any two sides and one of the opposite acute angle are given, unde...

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  14. Consider a triangle ABC, where c,y,z are the length of perpendicular d...

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  15. Consider a triangle ABC, where c,y,z are the length of perpendicular d...

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  16. Consider a triangle ABC, where c,y,z are the length of perpendicular d...

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  17. AL, BM and CN are perpendicular from angular points of a triangle ABC ...

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  18. AL, BM and CN are perpendicular from angular points of a triangle ABC ...

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  19. AL, BM and CN are perpendicular from angular points of a triangle ABC ...

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  20. AL, BM and CN are perpendicular from angular points of a triangle ABC ...

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