Question

The ratios a: B and B :c are equivalent to one another

Select all the statements that must be true

Answer 1

Options (2) and (5)

Explanation:

Given ratio is a : b and b : c

`(a)/(b)=(b)/(c)`

`(b)/(a)= (c)/(b)` [Option 2]

`(a)/(b)=(b)/(c)`

b × b = a × c

b² = ac

If a = b,

b² = bc

b = c [Option 5]

Therefore, Options (2) and (5) are the correct options.