Let f, g, h be the lengths of the perpendiculars from the circumcentre of the triangle ABC on the sides a,b and c respectively. If (a/f) + (b/g) + (c/h) = k.(abc)/(fgh), then the value of k is:

A)1/4

B)1/2

C)1

D)2

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- Jul 29th 2008, 05:53 AMfardeen_genQuestion regarding circumcentre?
Let f, g, h be the lengths of the perpendiculars from the circumcentre of the triangle ABC on the sides a,b and c respectively. If (a/f) + (b/g) + (c/h) = k.(abc)/(fgh), then the value of k is:

A)1/4

B)1/2

C)1

D)2 - Jul 29th 2008, 02:58 PMred_dog
Let O be the circumcenter of the triangle ABC,

We have

Let . Then

Then the equality becomes

But is known that if then

So,