If a = b, show that abc = bac.

if a gt c , show that abc - cba = 99(a - c)

If a=c, show that cba-abc=0

If c gt a , show that cba-abc=99(c-a)

In a Delta ABC, show that (a cos A+b cos B+ c cos C)/(a+b+c)= (r )/(R )

If a+ b + c = 0 , show that : a^(3) + b^(3) + c^(3)= 3abc

If a=log_(24)12,b=log_(36)24, c=log_(48)36 , then show that 1+abc=2bc

Triangles ABC and DBC are two isosceles triangles on the same base BC and their vertices A and D are on the same side of BC. If AD is extended to intersect BC at P, show that: AP bisects angle BAC and BDC.

In any Delta ABC, show that cos A+ cos B+ cos C = (1+ (r )/(R )).

If a,b,c are all distinct and |[a,a^3,a^4-1],[b,b^3,b^4-1],[c,c^3,c^4-1]| =0, show that abc(ab+bc+ac) = a+b+c

If a,b,c are all distinct and |[a,a^3,a^4-1],[b,b^3,b^4-1],[c,c^3,c^4-1]| =0, show that abc(ab+bc+ac) = a+b+c