Question

a/(b + c) = b/(c + a) = c/(a + b) and a+b+c is not equal to
Then show that value of each ratio 1/2​

Answer 1

Answer:

Step-by-step explanation:

a/(b + c) = b/(c + a) = c/(a + b)

a/(b + c) = 1/ 2 i.e a=b=c

a/(b + c) = b/ (c + a)

a(c + a) = b(b + c)

ac + a^2 = bc + b^2

As LHS = RHS ,

Comparing both sides;

ac = bc and a^2 =b^2

a = b

b/(c + a) = c/( a+ b)

b(a + b) = c (c + a)

ab + b^2 = ac + c^2

As LHS = RHS ,

Comparing both sides ;

ab = ac and b^2 = c^2

b = c

As, a = b and b = c , a = c

a = b = c

Answer 2

Step-by-step explanation:

a+b+c are in continued proportion

i.e a+b+c is not equal to 0

a+b+c/b+c+c+a+a+b = a+b+c/2(a+b+c)= 1/2