In a triangle ABC, AD, BE and CF are the altitudes and R is the circum radius, then the radius of the circel DEF is

If in a DeltaABC, AD, BE and CF are the altitudes and R is the circumradius, then the radius of the circumcircle of DeltaDEF is

In a triangle ABC, AB = AC. Show that the altitude AD is median also.

In an acute angle triangle ABC, AD, BE and CF are the altitudes, then (EF)/a+(FD)/b+(DE)/c is equal to -

In a scalene triangle ABC , AD and CF are the altitudes drawn from A and C on the sides BC and AB repectively.If the area of the triangle ABC and BDF are 18sq.units and 2 sq. units respectively and DF = 2sqrt2 , then R =

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

In a right angled triangle ABC, if r(in radius)=7 cm and R(Circumradius) = 32.5 cm, then the area of the triangle (in square cm ) is………………..

In Delta ABC, angle A = (pi)/(3) and its incircle of unit radius. Find the radius of the circle touching the sides AB, AC internally and the incircle of Delta ABC externally is x , then the value of x is

If R be circum-radius of a Delta, then circum-radius of a pedal Delta is

If AD,BE and CF are the altitudes of a triangle ABC whose vertex A is the point (-4,5) . The coordinates of the points E and F are (4,1) and (-1,-4) respectively, then equation of BC is

The radius of the circle passing through the vertices of the triangle ABC, is