If x,y,z are perpendicular from circum centre of the sides of the `DeltaABC` respectively. Prove that `a/z+b/y+c/z=(abc)/(4xyz)`

If x,y,z are respectively perpendiculars from the circumcentre on the sides of the DeltaABC , the value of a/x+b/y+c/z-(abc)/(4xyz)=

If in Delta ABC , the distance of the vertices from the orthocenter are x,y, and z then prove that (a)/(x) + (b)/(y) + (c)/(z) = (abc)/(xyz)

In !ABC , x , y , and z are the distance of incentre from angular points A , B ,and C respectively . If (xyz)/(abc)=(lamdar)/s , then lamda =

In the figure, P is the centre of the circle. Prove that: /_X P Z=2\ (/_X Z Y+\ /_Y X Z)

If H is the orthocenter of DeltaABC and if AH = x, BH = y, CH = z , then a/x+b/y+c/z=

In a triangle XYZ, let x, y, z be the lengths of sides opposite to the angles X, Y, Z, respectively, and 2s = x + y + z. If (s-x)/4=(s-y)/3=(s-z)/2 of incircle of the triangle XYZ is (8pi)/3

In a triangle XYZ, let x, y, z be the lengths of sides opposite to the angles X, Y, Z, respectively, and 2s = x + y + z. If (s-x)/4=(s-y)/3=(s-z)/2 of incircle of the triangle XYZ is (8pi)/3

Tangents are drawn to the In -circle of triangle ABC which are prallel to its sides. If x,y,z be the lengths of the tangents and a,b,c be the sides of triangle, then prove that x/a+y/b+z/c=1

If x,y,z are in G.P and a^x=b^y=c^z ,then

Using properties of determinants, prove that |(a+x, y, z),(x, a+y, z),(x, y,a+z)|=a^2(a+x+y+z)