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Let ABC be an acute angled triangle with...

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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