1.

Let ABC be an acute angled triangle with orthocenter H. D, E, and F are the feet of perpendicular from A, B, and C, respectively, on opposite sides. Also, let R be the circumradius respectively, on opposite sides. Also, let R be the circumradius of DeltaABC. Given AH.BH.CH=3 and (AH)^(2)+(BH)^(2)+(CH)^(2)=7. then answer the following : Value of HD. HE. HF is

Answer»

`(9)/(64R^(2))`
`(9)/(8R^(3))`
`(8)/(9R^(3))`
`(64)/(9R^(3))`

Answer :B


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