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

Question

asked Aug 8, 2020 8.7k views

2 Answers

Jpaoletti · Answer 1 · 2020-08-13T02:10:10+0000

Answer:

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