Question

If a/(b+c) = b/(c+a)= c/(a+b) , prove that a(b-c) +b(c-a) +c(a-b)= 0

Answer 1

Answer:

Step-by-step explanation:

let a/(b+c)=k

a=k(b+c)

b/(a+c)=k

b=k(a+c)

c/(a+b)=k

c=(a+b)k

LHS:

k(b+c)(b-c)+k(a+c)(a-c)+k(b+a)(a-b)

=kb^2-kc^2+ka^2-kc^2+kb^2-ka^2

=0=RHS

Answer 2

Answer:

Step-by-step explanation: