Question

Which proportion could be used to find the length of side b?​

Answer 1

B

Explanation:

Answer 2

B

Explanation:

Using the Sine Rule in ΔABC

`(a)/(sinA)` =
`(b)/(sinB)` =
`(c)/(sinC)`

∠C = 180° - (82 + 58)° = 180° - 140° = 40°

Completing values in the above formula gives

`(a)/(sin58)` =
`(b)/(sin82)` =
`(8.4)/(sin40)`

We require a pair of ratios which contain b and 3 known quantities, that is

`(b)/(sin82)` =
`(8.4)/(sin40)`

OR

`(sin40)/(8.4)` =
`(sin82)/(b)` → B